question_answer1) Ionization power and penetration range of radioactive radiation increases in the order:
A) \[\gamma ,\beta ,\alpha \,and\,\gamma ,\beta ,\alpha \,respectively\] done clear
B) \[\gamma ,\beta ,\alpha \,and\,\alpha ,\beta ,\gamma \,respectively\] done clear
C) \[\alpha ,\beta ,\gamma ,\,and\,\alpha ,\beta ,\gamma \,respectively\] done clear
D) \[\alpha ,\beta ,\gamma \,and\,\gamma ,\beta ,\alpha ,\,respectively\] done clear
View Answer play_arrowquestion_answer2) The half-life of a radioactive element is 3.8 days. The fraction left after 19 days will be:
A) 0.124 done clear
B) 0.062 done clear
C) 0.093 done clear
D) 0.031 done clear
View Answer play_arrowquestion_answer3) Two identical p-n junctions are connected in series in three different ways as shown below to a battery. The potential drop across the p-n junctions are equal in:
A) circuits 2 and 3 done clear
B) circuits 1 and 2 done clear
C) circuits 1 and 3 done clear
D) none of the circuit done clear
View Answer play_arrowquestion_answer4) The temperature coefficient of a zener mechanism is:
A) negative done clear
B) positive done clear
C) infinity done clear
D) zero done clear
View Answer play_arrowquestion_answer5) Identify the logic gate from the following truth table:
Input | Output | |
A | B | Y |
0 | 0 | 1 |
0 | 1 | 0 |
1 | 0 | 0 |
1 | 1 | 0 |
A) NOR gate done clear
B) NOT gate done clear
C) AND gate done clear
D) NAND gate done clear
View Answer play_arrowquestion_answer6) In Boolean algebra, \[\overline{\overline{A}.\overline{B}}\] is equal to:
A) \[\overline{\text{A}}\cdot \overline{\text{B}}\] done clear
B) \[\overline{\text{A}}+\overline{\text{B}}\] done clear
C) \[\text{A}\cdot \text{B}\] done clear
D) \[\text{A+B}\] done clear
View Answer play_arrowquestion_answer7) Radar waves are sent towards a moving aeroplane and the reflected waves are received. When the aeroplane is moving towards the radar, the wavelength of the wave:
A) decreases done clear
B) increases done clear
C) remains the same done clear
D) sometimes increases or decreases . done clear
View Answer play_arrowquestion_answer8) The transmission of high frequencies in a coaxial cable is determined by:
A) \[\frac{1}{{{\left( LC \right)}^{1/2}}},\], where L and C are inductance and capacitance done clear
B) \[{{\left( LC \right)}^{2}}\] done clear
C) the impedance L alone done clear
D) the dielectric and skin effect done clear
View Answer play_arrowquestion_answer9) The output stage of a television transmitter is most likely 10 be a:
A) plate- modulated class C amplifier done clear
B) grid- modulated class C amplifier done clear
C) screen- modulated class C amplifier done clear
D) grid- modulated class A amplifier done clear
View Answer play_arrowquestion_answer10) The antenna current of an AM transmitter is 8 A when only the carrier is sent, but it increases to 8.93 A when the carrier is modulated by a single sine wave. Find the percentage modulation.
A) 60.1% done clear
B) 70.1% done clear
C) 80.1% done clear
D) 50.1% done clear
View Answer play_arrowquestion_answer11) Two point like charges Q1 and Q2 of whose strengths are equal in absolute value are placed at a certain distance from each other. Assuming the field strength to be positive in the positive direction of x-axis, the signs of the charges \[{{Q}_{1}}\] and \[{{Q}_{2}}\] for the graphs (field strength versus distance) shown in Fig. 1, 2, 3 and 4 are :
A) \[{{Q}_{1}}\] positive, \[{{Q}_{2}}\] negative; both positive; \[{{Q}_{1}}\] negative, \[{{Q}_{2}}\] positive; both negative done clear
B) \[{{Q}_{1}}\] negative \[{{Q}_{2}}\] positive; \[{{Q}_{1}}\] positive, \[{{Q}_{2}}\] negative; both positive; both negative done clear
C) \[{{Q}_{1}}\] positive, \[{{Q}_{2}}\] negative; both negative; \[{{Q}_{1}}\] negative, \[{{Q}_{2}}\] positive; both positive done clear
D) both positive; \[{{Q}_{1}}\] positive, \[{{Q}_{2}}\] negative; \[{{Q}_{1}}\] negative, \[{{Q}_{2}}\] positive; both negative done clear
View Answer play_arrowquestion_answer12) ABCD is a rectangle. At comers B, C and D of the rectangle are placed charges \[+10\,\times \,{{10}^{-10}}\,C,-20\,\times \,{{10}^{-12}}\,and\,10\,\times \,{{10}^{-12}}C,\]respectively. Calculate the potential at the fourth comer. (The side \[AB=4\text{ }cm\] and \[BC=3\text{ }cm\])
A) 1.65 V done clear
B) 0.165 V done clear
C) 16.5 V done clear
D) 2.65 V done clear
View Answer play_arrowquestion_answer13) A parallel plate capacitor of capacitance 100 pF is to be constructed by using paper sheets of 1 mm thickness as dielectric. If the dielectric constant of paper is 4, the number of circular metal foils of diameter 2 cm each required for the purpose is:
A) 40 done clear
B) 20 done clear
C) 30 done clear
D) 10 done clear
View Answer play_arrowquestion_answer14) The electric field intensity \[\overrightarrow{E}\], due to an electric dipole of moment \[\overrightarrow{P}\], at a point on the equatorial line is:
A) parallel to the axis of the dipole and opposite to the direction of the dipole moment \[\overrightarrow{P}\] done clear
B) perpendicular to the axis of the dipole and is directed away from it done clear
C) parallel to the dipole moment done clear
D) perpendicular to the axis of the dipole and is directed towards it done clear
View Answer play_arrowquestion_answer15) Twelve wires of each of resistance 60 are connected to form a cube as shown in the figure. The current enters at a comer A and leaves at the diagonally opposite corner G. The joint resistance across the comers A and G are:
A) 12\[\Omega \] done clear
B) 60\[\Omega \] done clear
C) 30\[\Omega \] done clear
D) 50\[\Omega \] done clear
View Answer play_arrowquestion_answer16) A conductor and a semiconductor are connected in parallel as shown in the figure. At a certain voltage both ammeters register the same current. If the voltage of the DC source is increased then the:
A) ammeter connected to the semiconductor will register higher current than the ammeter connected to the conductor done clear
B) ammeter connected to the conductor will register higher current than the ammeter connected to the semiconductor done clear
C) ammeters connected to both semiconductor and conductor will register the same current done clear
D) ammeters connected to both semiconductor and conductor will register no change in the current done clear
View Answer play_arrowquestion_answer17) A uniform copper wire of length 1 m and cross-sectional area 8 x 10-7m2 carries a current of 1 A. Assuming that there are \[8\times {{10}^{28}}\]free electron/ m3 in copper, how long will an electron take to drift from one end of the wire to the other?
A) \[0.8\times {{10}^{3}}s~\] done clear
B) \[1.6\times {{10}^{3}}s\] done clear
C) \[3.2\times {{10}^{3}}s\] done clear
D) \[6.4\times {{10}^{3}}s\] done clear
View Answer play_arrowquestion_answer18) The temperature coefficient of resistance of a wire is 0.00125 / K. At 300 K, its resistance is 1\[\Omega \]. The resistance of the wire will be 2 0 at:
A) 1154 K done clear
B) 1100 K done clear
C) 1400 K done clear
D) 1127 K done clear
View Answer play_arrowquestion_answer19) A rectangular coil ASCD which is rotated at a constant angular velocity about an horizontal as shown in the figure. The axis of rotation of the coil as well as the magnetic field B are horizontal. Maximum current will flow in the circuit when the plane of the coil is:
A) inclined at \[30{}^\circ \] to the magnetic field done clear
B) perpendicular to the magnetic field done clear
C) inclined at \[45{}^\circ \] to the magnetic field done clear
D) parallel to the magnetic field done clear
View Answer play_arrowquestion_answer20) If the total emf in a thermocouple is a parabolic function expressed as \[E=at+\frac{1}{2}b{{t}^{2}},\]which of the following relation does not hold good?
A) neutral temperature \[{{t}_{n}}=-\frac{a}{b}\] done clear
B) temperature of inversion, \[{{t}_{i}}=\frac{-2a}{b}\] done clear
C) thermoelectric power \[P=a+bt\] done clear
D) \[{{t}_{n}}=\frac{a}{b}\] done clear
View Answer play_arrowquestion_answer21) The proton of energy \[1MeV\] describes a circular path in plane at right angles to a uniform magnetic field of \[6.28\times {{10}^{-4}}T\]. The mass of the proton is \[1.7\times {{10}^{-27}}kg\]. The cyclotron frequency of the proton is very nearly equal to:
A) \[{{10}^{7}}Hz\] done clear
B) \[{{10}^{5}}Hz\] done clear
C) \[{{10}^{6}}Hz\] done clear
D) \[{{10}^{4}}Hz\] done clear
View Answer play_arrowquestion_answer22) The magnetic field at the centre of a loop of a circular wire of radius r carrying current I may be taken as B0. If a panicle of charge q moving with speed v passes the centre of a semicircular wire, as shown in figure, along the axis of the wire, the force on it due to the current is:
A) zero done clear
B) \[\frac{1}{4}\]B0 qv done clear
C) \[\frac{1}{2}q{{B}_{0}}v\] done clear
D) \[q{{B}_{0}}v\] done clear
View Answer play_arrowquestion_answer23) There are two solenoids of same length and inductance L but their diameters differ to the extent that one can just fit into the other. They are connected in three different ways in series. (1) They are connected in series but separated by large distance, (2) they are connected in series with one inside the other and senses of the turns coinciding, (3) both are connected in series with one inside the other with senses of the turns opposite as depicted in figures 1, 2 and 3, respectively. The total inductance of the solenoids in each of the case 1, 2 and 3 are respectively:
A) \[0,4{{L}_{0}},2{{L}_{0}}\] done clear
B) \[4{{L}_{0}},2{{L}_{0}},0\] done clear
C) \[2{{L}_{0}},0,4{{L}_{0}}\] done clear
D) \[2{{L}_{0}},4{{L}_{0}},0\] done clear
View Answer play_arrowquestion_answer24) From figure shown below a series L-C-R circuit connected to a variable frequency\[200\text{ }V\]source. \[L=5H,\]\[\text{C=80 }\!\!\mu\!\!\text{ F}\]and \[\text{R = 40 }\Omega \]. Then the source frequency which drive the circuit at resonance is:
A) 25 Hz done clear
B) \[\frac{25}{\pi }\] Hz done clear
C) 50 Hz done clear
D) \[\frac{50}{\pi }\]Hz done clear
View Answer play_arrowquestion_answer25) If the coefficient of mutual induction of the primary and secondary coils of an induction coil is\[\text{5 H}\]and a current of \[10\text{ A}\] is cut-off in \[5\times {{10}^{-4}}s\], the emf inducted (in volt) in the secondary coil is:
A) \[5\times {{10}^{4}}\] done clear
B) \[1\times {{10}^{5}}\] done clear
C) \[25\times {{10}^{5}}\] done clear
D) \[5\times {{10}^{6}}\] done clear
View Answer play_arrowquestion_answer26) A voltage of peak value 283 V and varying frequency is applied to a series L-C-R combination in which \[R=3\,\Omega \], \[\text{L = 25 mH}\]and \[\text{C = 400 }\!\!\mu\!\!\text{ F}\]. The frequency (in Hz) of the source at which maximum power is dissipated in the above, is:
A) 51.5 done clear
B) 50.7 done clear
C) 51.1 done clear
D) 50.3 done clear
View Answer play_arrowquestion_answer27) Pour independent waves are represented by equations: (1) \[{{X}_{1}}={{a}_{1}}\,\sin \,\omega t\] (2) \[{{X}_{2}}={{a}_{1}}\,\sin \,2\omega t\] (3) \[{{X}_{3}}={{a}_{1}}\,\sin \,{{\omega }_{1}}t\] (4) \[{{X}_{4}}={{a}_{1}}\,\sin \,\left( \omega t+\delta \right)\] Interference is possible between waves represented by equations:
A) 3 and 4 done clear
B) 1 and 2 done clear
C) 2 and 3 done clear
D) 1 and 4 done clear
View Answer play_arrowquestion_answer28) Following diffraction pattern was obtained using a diffraction grating using two different wavelengths \[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\]. With the help of the figure identify which is the longer wavelength and their ratios.
A) \[{{\lambda }_{2}}\]is longer than \[{{\lambda }_{1}}\]and the ratio of the longer to the shorter wavelength is 1.5 done clear
B) \[{{\lambda }_{1}}\] is longer than \[{{\lambda }_{2}}\] and the ratio of the longer to the shorter wavelength is 1.5 done clear
C) \[{{\lambda }_{1}}\] and \[{{\lambda }_{2}}\] are equal and their ratio is 1.0 done clear
D) \[{{\lambda }_{2}}\] is longer than \[{{\lambda }_{1}}\] and the ratio of the longer to the shorter wavelength is 2.5 done clear
View Answer play_arrowquestion_answer29) In Youngs double slit experiment, the interference pattern is found to have an intensity ratio between bright and dark fringes is 9. This implies that:
A) the intensities at the screen due to two slits are 5 units and 4 units respectively done clear
B) the intensities at the screen due to the two slits are 4 units and 1 units, respectively done clear
C) the amplitude ratio is 7 done clear
D) the amplitude ratio is 6 done clear
View Answer play_arrowquestion_answer30) Rising and setting sun appears to be reddish because:
A) diffraction sends red rays to earth at these times done clear
B) scattering due to dust panicles and air molecules are responsible done clear
C) refraction is responsible done clear
D) polarization is responsible done clear
View Answer play_arrowquestion_answer31) The magnetic moment of the ground state of an atom whose open sub-shell is half-filled with five electrons is:
A) \[\sqrt{35}\sqrt{{{\mu }_{B}}}\] done clear
B) \[35{{\mu }_{B}}\] done clear
C) \[35\sqrt{{{\mu }_{B}}}\] done clear
D) \[{{\mu }_{B}}\sqrt{35}\] done clear
View Answer play_arrowquestion_answer32) Indicate which one of the following statements is not correct?
A) Intensities of reflections from different crystallographic planes are equal done clear
B) According to Braggs law higher order of reflections have high 9 values for a given wavelength of radiation done clear
C) For a given wavelength of radiation, there is a smallest distance between the crystallographic planes which can be determined done clear
D) Braggs law may predict a reflection from a crystallographic plane to be present but it may be absent due to the crystal symmetry done clear
View Answer play_arrowquestion_answer33) Identify the graph which correctly represents the Moseleys law?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer34) Assuming f to be frequency of first line in Burner series, the frequency of the immediate next (i.e., second) line is:
A) 0.50 f done clear
B) 1.35 f done clear
C) 2.05 f done clear
D) 2.70 f done clear
View Answer play_arrowquestion_answer35) The velocity of a panicle at which the kinetic energy is equal to its rest energy is:
A) \[\left( \frac{3c}{2} \right)\] done clear
B) \[3\frac{c}{\sqrt{2}}\] done clear
C) \[\frac{{{\left( 3c \right)}^{1/2}}}{2}\] done clear
D) \[\frac{c\sqrt{3}}{2}\] done clear
View Answer play_arrowquestion_answer36) One electron and one proton is accelerated by equal potential. Ratio in their de- Broglie wavelength is:
A) 1 done clear
B) \[\frac{{{m}_{e}}}{{{m}_{p}}}\] done clear
C) \[\sqrt{\frac{{{m}_{p}}}{{{m}_{e}}}}\] done clear
D) \[\sqrt{\frac{{{m}_{e}}}{{{m}_{p}}}}\] done clear
View Answer play_arrowquestion_answer37) Two electrons are moving in opposite direction with speeds 0.8 c and 0.4 c, where c is the speed of light in vacuum. Then the relative speed is about:
A) 0.4 c done clear
B) 0.8 c done clear
C) 0.9 c done clear
D) 1.2 c done clear
View Answer play_arrowquestion_answer38) A photo-sensitive material would emit electrons, if excited by photons beyond a threshold. To overcome the threshold, one would increase the:
A) voltage applied to the light source done clear
B) intensity of light done clear
C) wavelength of light done clear
D) frequency of light done clear
View Answer play_arrowquestion_answer39) The radius of nucleus is:
A) proportional to its mass number done clear
B) inversely proportional to its mass number done clear
C) proportional to the cube root of its mass number done clear
D) not related to its mass number done clear
View Answer play_arrowquestion_answer40) Radio carbon dating is done by estimating in specimen the:
A) amount of ordinary carbon still present done clear
B) amount of radio carbon still present done clear
C) ratio of amount of \[^{14}{{C}_{6}}\] to \[^{12}{{C}_{6}}\] still present done clear
D) ratio of amount of \[^{12}{{C}_{6}}\] to \[^{14}{{C}_{6}}\] still present done clear
View Answer play_arrowquestion_answer41) An ion leaves its regular site occupy a position in the space between the lattice sites is called:
A) Frenkel defect done clear
B) Schottky defect done clear
C) impurity defect done clear
D) vacancy defect done clear
View Answer play_arrowquestion_answer42) The 8: 8 type of packing is present in:
A) \[Mg{{F}_{2}}\] done clear
B) \[CsCl\] done clear
C) \[KCl\] done clear
D) \[NaCl\] done clear
View Answer play_arrowquestion_answer43) 43. When a solid melts reversibly:
A) H decreases done clear
B) G increases done clear
C) E decreases done clear
D) S increases done clear
View Answer play_arrowquestion_answer44) Enthalpy is equal to:
A) \[{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{P}}\] done clear
B) \[-{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{P}}\] done clear
C) \[{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{V}}\] done clear
D) \[-{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{V}}\] done clear
View Answer play_arrowquestion_answer45) Condition for spontaneity in an isothermal process is:
A) \[\Delta A+W<0\] done clear
B) \[\Delta G+U<0\] done clear
C) \[\Delta G+U>0\] done clear
D) \[\Delta G-U<0\] done clear
View Answer play_arrowquestion_answer46) Given: \[2C+2{{O}_{2}}(g)\xrightarrow{{}}2C{{O}_{2}}(g);\] \[\Delta H=-787kJ\] \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}{{H}_{2}}O(l);\] \[\Delta H=-286kJ\] \[{{C}_{2}}{{H}_{2}}(g)+2\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}2C{{O}_{2}}(g)+{{H}_{2}}O(l);\] \[\Delta H=-1310kJ\] The heat of formation of acetylene is :
A) \[-1802kJ\] done clear
B) \[+1802kJ\] done clear
C) \[+237kJ\] done clear
D) \[-800kJ\] done clear
View Answer play_arrowquestion_answer47) Given the equilibrium system : \[N{{H}_{4}}Cl(s)\xrightarrow{{}}NH_{4}^{+}(aq)+C{{l}^{-}}(aq)\] \[(\Delta H=+3.5kcal/mol.)\] What change will shift the equilibrium to the right?
A) Decreasing the temperature done clear
B) Increasing the temperature done clear
C) Dissolving \[NaCl\] crystals in the equilibrium mixture done clear
D) Dissolving \[N{{H}_{4}}N{{O}_{3}}\] crystals in the equilibrium mixture done clear
View Answer play_arrowquestion_answer48) According to Arrhenius equation, the rate constant (K) is related to temperature (T) as:
A) In \[\frac{{{k}_{2}}}{{{k}_{1}}}=\frac{{{E}_{a}}}{R}\left[ \frac{1}{{{T}_{1}}}-\frac{1}{{{T}_{2}}} \right]\] done clear
B) In \[\frac{{{k}_{2}}}{{{k}_{1}}}=-\frac{{{E}_{a}}}{R}\left[ \frac{1}{{{T}_{1}}}-\frac{1}{{{T}_{2}}} \right]\] done clear
C) In \[\frac{{{k}_{2}}}{{{k}_{1}}}=\frac{{{E}_{a}}}{R}\left[ \frac{1}{{{T}_{1}}}+\frac{1}{{{T}_{2}}} \right]\] done clear
D) In \[\frac{{{k}_{2}}}{{{k}_{1}}}=-\frac{{{E}_{a}}}{R}\left[ \frac{1}{{{T}_{1}}}+\frac{1}{{{T}_{2}}} \right]\] done clear
View Answer play_arrowquestion_answer49) Equivalent amounts of \[{{H}_{2}}\] and \[{{I}_{2}}\] are heated in a closed vessel till equilibrium is obtained. If 80% of the hydrogen can be converted to \[HI\], the \[{{k}_{c}}\] at this temperature is:
A) \[64\] done clear
B) \[16\] done clear
C) \[0.25\] done clear
D) \[4\] done clear
View Answer play_arrowquestion_answer50) For the reaction \[{{H}_{2}}(g)+{{I}_{2}}(g)\xrightarrow{{}}2HI(g),\] the equilibrium constant \[{{K}_{p}}\] changes with:
A) total pressure done clear
B) catalyst done clear
C) the amount \[{{H}_{2}}\] and \[{{I}_{2}}\] done clear
D) temperature done clear
View Answer play_arrowquestion_answer51) How long (in hours) must a current of 5.0 A be maintained to electroplate 60 g of calcium from molten \[CaC{{l}_{2}}\]?
A) \[27h\] done clear
B) \[8.3h\] done clear
C) \[11h\] done clear
D) \[16h\] done clear
View Answer play_arrowquestion_answer52) For strong electrolytes the plot of molar conductance vs\[\sqrt{C}\] is:
A) parabolic done clear
B) linear done clear
C) sinusoidal done clear
D) circular done clear
View Answer play_arrowquestion_answer53) If the molar conductance values of \[C{{a}^{2+}}\] and \[C{{l}^{-}}\] at infinite dilution are respectively \[118.88\times {{10}^{-4}}{{m}^{2}}mho\,mo{{l}^{-1}}\] and \[77.33\times {{10}^{-4}}{{m}^{2}}m\hom o{{l}^{-1}}\] then that of \[CaC{{l}_{2}}\] is (in \[{{m}^{2}}\,mho\,mo{{l}^{-1}}\]):
A) \[118.88\times {{10}^{-4}}\] done clear
B) \[154.66\times {{10}^{-4}}\] done clear
C) \[273.54\times {{10}^{-4}}\] done clear
D) \[196.21\times {{10}^{-4}}\] done clear
View Answer play_arrowquestion_answer54) The standard reduction potentials at 298 K for the following half reactions are given against each: \[Z{{n}^{2+}}(aq)+2{{e}^{-}}\to Zn(s)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{E}^{o}}=-0.762V\] \[C{{r}^{3+}}(aq)+3{{e}^{-}}\to Cr(s)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{E}^{o}}=-0.740V\] \[2{{H}^{+}}(aq)+2{{e}^{-}}\to {{H}_{2}}(s)\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{E}^{o}}=-0.00V\] \[F{{e}^{3+}}(aq)+3{{e}^{-}}\to F{{e}^{2+}}(aq)\,\,\,\,\,\,\,\,\,\,{{E}^{o}}=-0.762V\] The strongest reducing agent is:
A) \[Zn(s)\] done clear
B) \[Cr(s)\] done clear
C) \[{{H}_{2}}(g)\] done clear
D) \[F{{e}^{2+}}(aq)\] done clear
View Answer play_arrowquestion_answer55) The epoxide ring consists of which of the following :
A) three .membered ring with two carbon and one oxygen done clear
B) four membered ring with three carbon and one oxygen done clear
C) five membered ring with four carbon and one oxygen done clear
D) six membered ring with five carbon and one oxygen done clear
View Answer play_arrowquestion_answer56) In the Grignard reaction, which metal forms an organometallic bond?
A) Sodium done clear
B) Titanium done clear
C) Magnesium done clear
D) Palladium done clear
View Answer play_arrowquestion_answer57) Phenol is more acidic than:
A) p-chlorophenol done clear
B) p-nitrophenol done clear
C) o-nitrophenol done clear
D) ethanol done clear
View Answer play_arrowquestion_answer58) Aldol condensation is given by:
A) trimethylacetaldehyde done clear
B) acetaldehyde done clear
C) benzaldehyde done clear
D) formaldehyde done clear
View Answer play_arrowquestion_answer59) Give the IUPAC name for \[{{H}_{3}}C-C{{H}_{2}}-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-{{H}_{2}}C-C{{H}_{2}}-\overset{O}{\mathop{\overset{||}{\mathop{C}}\,}}\,-OC{{H}_{3}}\]
A) ethyl-4-oxoheptanoate done clear
B) methyl-4-oxoheptanoate done clear
C) ethyl-4-oxohexanoate done clear
D) methyl-4-oxohexanoate done clear
View Answer play_arrowquestion_answer60) In which of the below reaction do we find \[\alpha \], \[\beta \]-unsaturated carbonyl compounds undergoing a ring closure reaction with conjugated dienes?
A) Perkin reaction done clear
B) Diels-Alder reaction done clear
C) Claisen rearrangement done clear
D) Hofmann reaction done clear
View Answer play_arrowquestion_answer61) The catalyst used in Rosenmund reaction is:
A) \[Zn/Hg\] done clear
B) \[Pd/BaS{{O}_{4}}\] done clear
C) Raney \[Ni\] done clear
D) \[Na\] in ethanol done clear
View Answer play_arrowquestion_answer62) \[{{(C{{H}_{2}}CO)}_{2}}O+RMgX\xrightarrow{{{H}_{2}}O}\]?
A) \[ROOC(C{{H}_{2}})COOR\] done clear
B) \[RCOC{{H}_{2}}C{{H}_{2}}COOH\] done clear
C) \[RCOOR\] done clear
D) \[RCOOH\] done clear
View Answer play_arrowquestion_answer63) Identify, which of the below does not possess any element of symmetry?
A) (+)(-) tartaric acid done clear
B) Carbon tetrachloride done clear
C) Methane done clear
D) Meso-tartaric acid done clear
View Answer play_arrowquestion_answer64) The weakest acid amongst the following is :
A) \[ClC{{H}_{2}}COOH\] done clear
B) \[HCOOH\] done clear
C) \[FC{{H}_{2}}C{{H}_{2}}COOH\] done clear
D) \[C{{H}_{2}}(I)COOH\] done clear
View Answer play_arrowquestion_answer65) Urea on slow heating gives:
A) \[N{{H}_{2}}CONHN{{O}_{2}}\] done clear
B) \[N{{H}_{2}}CONHCON{{H}_{2}}\] done clear
C) \[HCNO\] done clear
D) \[N{{H}_{2}}CON{{H}_{2}}.HN{{O}_{3}}\] done clear
View Answer play_arrowquestion_answer66) Trans esterification is the process of :
A) conversion of an aliphatic acid to ester done clear
B) conversion of an aromatic acid to ester done clear
C) conversion of one ester to another ester done clear
D) conversion of an ester into its components namely acid and alcohol done clear
View Answer play_arrowquestion_answer67) The correct sequence of base strengths in aqueous solution is:
A) \[{{(C{{H}_{3}})}_{2}}NH>C{{H}_{3}}N{{H}_{2}}>{{(C{{H}_{3}})}_{3}}N\] done clear
B) \[{{(C{{H}_{3}})}_{3}}N>{{(C{{H}_{3}})}_{2}}NH>C{{H}_{3}}N{{H}_{2}}\] done clear
C) \[{{(C{{H}_{3}})}_{3}}N>C{{H}_{3}}N{{H}_{2}}={{(C{{H}_{3}})}_{2}}NH\] done clear
D) \[{{(C{{H}_{3}})}_{2}}NH>{{(C{{H}_{3}})}_{3}}N>C{{H}_{3}}N{{H}_{2}}\] done clear
View Answer play_arrowquestion_answer68) When aqueous solution of benzene diazoniumchloride is boiled, the product formed is:
A) \[{{C}_{6}}{{H}_{5}}C{{H}_{2}}OH\] done clear
B) \[{{C}_{6}}{{H}_{6}}+{{N}_{2}}\] done clear
C) \[{{C}_{6}}{{H}_{5}}COOH\] done clear
D) \[{{C}_{6}}{{H}_{5}}OH\] done clear
View Answer play_arrowquestion_answer69) Carbylamine reaction is given by aliphatic :
A) primary amine done clear
B) secondary amine done clear
C) tertiary amine done clear
D) quaternary ammonium salt done clear
View Answer play_arrowquestion_answer70) \[{{C}_{6}}{{H}_{5}}CHO\xrightarrow{N{{H}_{3}}}\]?
A) \[{{C}_{6}}{{H}_{5}}C{{H}_{2}}OH\] done clear
B) \[{{C}_{6}}{{H}_{6}}+{{N}_{2}}\] done clear
C) \[{{C}_{6}}{{H}_{5}}COOH\] done clear
D) \[{{C}_{6}}{{H}_{5}}OH\] done clear
View Answer play_arrowquestion_answer71) In \[TeC{{l}_{4}}\], the central atom tellurium involves:
A) \[s{{p}^{3}}\] hybridisation done clear
B) \[s{{p}^{3}}d\] hybridization done clear
C) \[s{{p}^{3}}{{d}^{2}}\] hybridisation done clear
D) \[ds{{p}^{2}}\] hybridization done clear
View Answer play_arrowquestion_answer72) Which of the following compounds volatilises on heating?
A) \[MgC{{l}_{2}}\] done clear
B) \[HgC{{l}_{2}}\] done clear
C) \[CaC{{l}_{2}}\] done clear
D) \[FeC{{l}_{3}}\] done clear
View Answer play_arrowquestion_answer73) A nuclear reaction of \[_{92}^{235}U\] with a neutron produces \[_{36}^{90}Kr\] and two neutrons. Other element produced in this reaction is:
A) \[_{52}^{137}Te\] done clear
B) \[_{55}^{144}Cs\] done clear
C) \[_{56}^{137}Ba\] done clear
D) \[_{56}^{144}Ba\] done clear
View Answer play_arrowquestion_answer74) \[AgCl\] dissolves in a solution of \[N{{H}_{3}}\] but not in water because:
A) \[N{{H}_{3}}\] is a better solvent than \[{{H}_{2}}O\] done clear
B) \[A{{g}^{+}}\] forms a complex ion with \[N{{H}_{3}}\] done clear
C) \[N{{H}_{3}}\]is a stronger base than \[{{H}_{2}}O\] done clear
D) the dipole moment of water is higher than \[N{{H}_{3}}\] done clear
View Answer play_arrowquestion_answer75) Which of the following is hexadentate ligand?
A) Ethylene diamine done clear
B) Ethylene diamine tetra acetic acid done clear
C) 1, 10-phenanthroline done clear
D) Acetyl acetonato done clear
View Answer play_arrowquestion_answer76) 76. A coordiante bond is a dative covalent bond. Which of the below is true?
A) Three atom form bond by sharing their electrons done clear
B) Two atom form bond by sharing their electrons done clear
C) Two atoms form bond and one of them provides both electrons done clear
D) Two atoms form bond by sharing electrons obtained from third atom done clear
View Answer play_arrowquestion_answer77) Which of the following complex has zero magnetic moment (spin only)?
A) \[[Ni{{(N{{H}_{3}})}_{6}}]C{{l}_{2}}\] done clear
B) \[N{{a}_{3}}[Fe{{F}_{6}}]\] done clear
C) \[[Cr{{({{H}_{2}}O)}_{6}}]S{{O}_{4}}\] done clear
D) \[{{K}_{4}}[Fe{{(CN)}_{6}}]\] done clear
View Answer play_arrowquestion_answer78) The IUPAC name of \[{{[Ni{{(PP{{h}_{3}})}_{2}}C{{l}_{2}}]}^{2+}}\] is:
A) bis dichloro (triphenylphosphine) nickel (II) done clear
B) dichloro bis (triphenylphosphine) nickel (II) done clear
C) dichloro triphenylphosphine nickel (II) done clear
D) triphenyl phosphine nickel (II) dichloride done clear
View Answer play_arrowquestion_answer79) Among the following the compound that is both paramagnetic and coloured is:
A) \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\] done clear
B) \[{{(N{{H}_{4}})}_{2}}[TiC{{l}_{6}}]\] done clear
C) \[VOS{{O}_{4}}\] done clear
D) \[{{K}_{3}}[Cu{{(CN)}_{4}}]\] done clear
View Answer play_arrowquestion_answer80) On an X-ray diffraction photograph the intensity of the spots depends on:
A) neutron density of the atoms/ions done clear
B) electron density of the atoms/ions done clear
C) proton density of the atoms/ions done clear
D) photon density of the atoms/ions done clear
View Answer play_arrowquestion_answer81) If the normal to the curve \[y=f(x)\] at (3, 4) makes an angle \[\frac{3\pi }{4}\] with the positive x-axis, then \[f(3)\] is equal to :
A) \[-1\] done clear
B) \[\frac{3}{4}\] done clear
C) \[1\] done clear
D) \[-\frac{3}{4}\] done clear
View Answer play_arrowquestion_answer82) The function\[f(x)={{x}^{2}}{{e}^{-2x}},\]\[x>0\]. Then the maximum value of \[f(x)\] is :
A) \[\frac{1}{e}\] done clear
B) \[\frac{1}{2e}\] done clear
C) \[\frac{1}{{{e}^{2}}}\] done clear
D) \[\frac{4}{{{e}^{4}}}\] done clear
View Answer play_arrowquestion_answer83) If \[(x+y)\sin u={{x}^{2}}{{y}^{2}},\] then \[x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}\] is equal to :
A) \[\sin u\] done clear
B) \[\text{cosec}\,u\] done clear
C) \[2\tan u\] done clear
D) \[3\tan u\] done clear
View Answer play_arrowquestion_answer84) The angle between the tangents at those points on the curve \[x={{t}^{2}}+1\] and \[y={{t}^{2}}-t-6\]where it meets x-axis is :
A) \[\pm {{\tan }^{-1}}\left( \frac{4}{29} \right)\] done clear
B) \[\pm {{\tan }^{-1}}\left( \frac{5}{49} \right)\] done clear
C) \[\pm {{\tan }^{-1}}\left( \frac{10}{49} \right)\] done clear
D) \[\pm {{\tan }^{-1}}\left( \frac{8}{29} \right)\] done clear
View Answer play_arrowquestion_answer85) The value of \[\int_{1}^{4}{\left| x-3 \right|}\,dx\]is equal to :
A) \[2\] done clear
B) \[\frac{5}{2}\] done clear
C) \[\frac{1}{2}\] done clear
D) \[\frac{3}{2}\] done clear
View Answer play_arrowquestion_answer86) The area of the region bounded by the straight lines \[x=0\]and \[x=2,\] and the curves \[y={{2}^{x}}\] and \[y=2x-{{x}^{2}}\] is equal to :
A) \[\frac{2}{\log 2}-\frac{4}{3}\] done clear
B) \[\frac{3}{\log 2}-\frac{4}{3}\] done clear
C) \[\frac{1}{\log 2}-\frac{4}{3}\] done clear
D) \[\frac{4}{\log 2}-\frac{3}{2}\] done clear
View Answer play_arrowquestion_answer87) The value of \[\int_{0}^{\infty }{\frac{dx}{({{a}^{2}}+{{x}^{2}})}}\]is equal to:
A) \[\frac{\pi }{2}\] done clear
B) \[\frac{\pi }{2a}\] done clear
C) \[\frac{\pi }{a}\] done clear
D) \[\frac{1}{2a}\] done clear
View Answer play_arrowquestion_answer88) The value of the integral \[\int{{{e}^{x}}}{{\left( \frac{1-x}{1+{{x}^{2}}} \right)}^{2}}dx\]is:
A) \[{{e}^{x}}\left( \frac{1-x}{1+{{x}^{2}}} \right)+c\] done clear
B) \[{{e}^{x}}\left( \frac{1+x}{1+{{x}^{2}}} \right)+c\] done clear
C) \[\frac{{{e}^{x}}}{1+{{x}^{2}}}+c\] done clear
D) \[{{e}^{x}}(1-x)+c\] done clear
View Answer play_arrowquestion_answer89) If \[x\sin \left( \frac{y}{x} \right)dy=\left[ y\,\sin \left( \frac{y}{x} \right)-x \right]dx\] and \[y(1)=\frac{\pi }{2},\]then the value of \[\cos \left( \frac{y}{x} \right)\] is equal to:
A) \[x\] done clear
B) \[\frac{1}{x}\] done clear
C) \[\log x\] done clear
D) \[{{e}^{x}}\] done clear
View Answer play_arrowquestion_answer90) The differential equation of the system of all circles of radius \[r\] in the \[xy\] plane is :
A) \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{3}} \right]}^{2}}={{r}^{2}}{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{2}}\] done clear
B) \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{3}} \right]}^{2}}={{r}^{2}}{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}\] done clear
C) \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{3}}={{r}^{2}}{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{2}}\] done clear
D) \[{{\left[ 1+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{3}}={{r}^{2}}{{\left( \frac{{{d}^{2}}y}{d{{x}^{2}}} \right)}^{3}}\] done clear
View Answer play_arrowquestion_answer91) The general solution of the differential equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+2\frac{dy}{dx}+y=2{{e}^{3x}}\]is given by:
A) \[y=({{c}_{1}}+{{c}_{2}}x){{e}^{x}}+\frac{{{e}^{3x}}}{8}\] done clear
B) \[y=({{c}_{1}}+{{c}_{2}}x){{e}^{-x}}+\frac{{{e}^{-3x}}}{8}\] done clear
C) \[y=({{c}_{1}}+{{c}_{2}}x){{e}^{-x}}+\frac{{{e}^{3x}}}{8}\] done clear
D) \[y=({{c}_{1}}+{{c}_{2}}x){{e}^{x}}+\frac{{{e}^{-3x}}}{8}\] done clear
View Answer play_arrowquestion_answer92) The solution of the differential equation\[ydx+(x-{{y}^{3}})=0\]is:
A) \[xy=\frac{1}{3}{{y}^{3}}+c\] done clear
B) \[xy={{y}^{4}}+c\] done clear
C) \[{{y}^{4}}=4xy+c\] done clear
D) \[4y={{y}^{3}}+c\] done clear
View Answer play_arrowquestion_answer93) The number of integral solutions of\[{{x}_{1}}+{{x}_{2}}+{{x}_{3}}=0,\] with \[{{x}_{i}}\ge -\,5,\] is :
A) \[{}^{15}{{C}_{2}}\] done clear
B) \[{}^{16}{{C}_{2}}\] done clear
C) \[{}^{17}{{C}_{2}}\] done clear
D) \[{}^{18}{{C}_{2}}\] done clear
View Answer play_arrowquestion_answer94) Let A = {1, 2, 3,..., n} and B = {a, b, c}, then the number of functions from A to B that are onto is:
A) \[{{3}^{n}}-{{2}^{n}}\] done clear
B) \[{{3}^{n}}-{{2}^{n}}-1\] done clear
C) \[3\,({{2}^{n}}-1)\] done clear
D) \[{{3}^{n}}-3\,({{2}^{n}}-1)\] done clear
View Answer play_arrowquestion_answer95) Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is :
A) 9 done clear
B) 12 done clear
C) 10 done clear
D) 14 done clear
View Answer play_arrowquestion_answer96) In a group G = {1,3,7,9} under multiplication modulo 10, the inverse of 7 is :
A) 7 done clear
B) 3 done clear
C) 9 done clear
D) 1 done clear
View Answer play_arrowquestion_answer97) A box contains 9 tickets numbered 1 to 9 inclusive. If 3 tickets are drawn from the box one at a time, the probability that they are alternatively either {odd, even, odd} or {even, odd, even}is:
A) \[\frac{5}{17}\] done clear
B) \[\frac{4}{17}\] done clear
C) \[\frac{5}{16}\] done clear
D) \[\frac{5}{18}\] done clear
View Answer play_arrowquestion_answer98) If \[P(A)=\frac{1}{12},P(B)=\frac{5}{12}\] and \[P\left( \frac{B}{A} \right)=\frac{1}{15},\] then \[P(A\cup B)\]is equal to :
A) \[\frac{89}{180}\] done clear
B) \[\frac{90}{180}\] done clear
C) \[\frac{91}{180}\] done clear
D) \[\frac{92}{180}\] done clear
View Answer play_arrowquestion_answer99) If the probability density function of a random variable X is \[f(x)=\frac{x}{2}\] in \[0\le x\le 2,\]then \[P(X>1.5\left| X>1 \right.)\] is equal to :
A) \[\frac{7}{16}\] done clear
B) \[\frac{3}{4}\] done clear
C) \[\frac{7}{12}\] done clear
D) \[\frac{21}{64}\] done clear
View Answer play_arrowquestion_answer100) If X follows a binomial distribution with parameters n = 100 and \[p=\frac{1}{3},\] then \[P(X=r)\] is maximum when r is equal to :
A) 16 done clear
B) 32 done clear
C) 33 done clear
D) none of these done clear
View Answer play_arrowquestion_answer101) If \[A(\theta )=\left[ \begin{matrix} 1 & \tan \theta \\ -\tan \theta & 1 \\ \end{matrix} \right]\] and \[AB=I,\] then\[({{\sec }^{2}}\theta )B\] is equal to :
A) \[A\,(\theta )\] done clear
B) \[A\,\left( \frac{\theta }{2} \right)\] done clear
C) \[A\,\left( -\,\theta \right)\] done clear
D) \[A\,\left( \frac{-\,\theta }{2} \right)\] done clear
View Answer play_arrowquestion_answer102) If \[x=-\,5\] is a root of \[\left| \begin{matrix} 2x+1 & 4 & 8 \\ 2 & 2x & 2 \\ 7 & 6 & 2x \\ \end{matrix} \right|=0,\] then the other roots are :
A) 3, 3.5 done clear
B) 1, 3.5 done clear
C) 1, 7 done clear
D) 2, 7 done clear
View Answer play_arrowquestion_answer103) The simultaneous equations \[Kx+2y-z=1,\] \[(K-I)\,y-2z=2\]and \[(K+2)\,z=3\] have only one solution when :
A) \[K=-\,2~\] done clear
B) \[K=-1\] done clear
C) \[K=0\] done clear
D) \[~K=1\] done clear
View Answer play_arrowquestion_answer104) If the rank of the matrix \[\left| \begin{matrix} -1 & 2 & 5 \\ 2 & -4 & a-4 \\ 1 & -2 & a+1 \\ \end{matrix} \right|\] is 1 then the value of a is :
A) \[-1\] done clear
B) \[2\] done clear
C) \[-6\] done clear
D) \[4\] done clear
View Answer play_arrowquestion_answer105) If \[{{b}^{2}}\ge 4ac\]for the equation\[a{{x}^{4}}+b{{x}^{2}}+c=0,\] then all the roots of the equation will be real if:
A) \[b>0,\text{ }a<0,\text{ }c>0\] done clear
B) \[b<0,\text{ }a>0,\text{ }c>0\] done clear
C) \[b>0,\text{ }a>0,\text{ }c>0\] done clear
D) \[b>0,\text{ }a>0,\text{ }c<0\] done clear
View Answer play_arrowquestion_answer106) If \[x>0\]and \[{{\log }_{3}}x+{{\log }_{3}}(\sqrt{x})+{{\log }_{3}}(\sqrt[4]{x})\]\[+{{\log }_{3}}(\sqrt[8]{x})+{{\log }_{3}}(\sqrt[16]{x})+....=4,\]then \[x\]equals:
A) 9 done clear
B) 81 done clear
C) 1 done clear
D) 27 done clear
View Answer play_arrowquestion_answer107) The number of real roots of the equation\[{{\left( x+\frac{1}{x} \right)}^{3}}+x+\frac{1}{x}=0\]is :
A) 0 done clear
B) 2 done clear
C) 4 done clear
D) 6 done clear
View Answer play_arrowquestion_answer108) If \[H\]is the harmonic mean between P and Q, then the value of \[\frac{H}{P}+\frac{H}{Q}\]is:
A) \[2\] done clear
B) \[\frac{PQ}{P+Q}\] done clear
C) \[\frac{1}{2}\] done clear
D) \[\frac{P+Q}{PQ}\] done clear
View Answer play_arrowquestion_answer109) If \[\overrightarrow{b}\] is a unit vector, then\[(\overrightarrow{a}\cdot \overrightarrow{b})\overrightarrow{b}+\overrightarrow{b}\times (\overrightarrow{a}\times \overrightarrow{b})\]is:
A) \[{{\left| \,\overrightarrow{a}\, \right|}^{2}}\overrightarrow{b}\] done clear
B) \[\left| \,\overrightarrow{a}\cdot \overrightarrow{b}\, \right|\,\overrightarrow{a}\] done clear
C) \[\overrightarrow{a}\] done clear
D) \[\overrightarrow{b}\] done clear
View Answer play_arrowquestion_answer110) It \[\theta \] is the between the lines AB and AC where A, B and C are the three points with coordinates (1, 2, -1), (2, 0, 3), (3, -1, 2) respectively, then\[\sqrt{462}\]is equal to :
A) 20 done clear
B) 10 done clear
C) 30 done clear
D) 40 done clear
View Answer play_arrowquestion_answer111) Let the pairs \[\overrightarrow{a},\,\overrightarrow{b}\] and \[\overrightarrow{c},\,\overrightarrow{d}\] each determine a plane. Then the planes are parallel, if:
A) \[(\overrightarrow{a}\times \overrightarrow{c})\times (\overrightarrow{b}\times \overrightarrow{c})=\overrightarrow{0}\] done clear
B) \[(\overrightarrow{a}\times \overrightarrow{c})\cdot (\overrightarrow{b}\times \overrightarrow{c})=0\] done clear
C) \[(\overrightarrow{a}\times \overrightarrow{b})\times (\overrightarrow{c}\times \overrightarrow{d})=\overrightarrow{0}\] done clear
D) \[(\overrightarrow{a}\times \overrightarrow{b})\cdot (\overrightarrow{c}\times \overrightarrow{d})=0\] done clear
View Answer play_arrowquestion_answer112) Tile area of a parallelogram with \[3\hat{i}+\hat{j}-2\hat{k}\] and \[\hat{i}-3\hat{j}+4\hat{k}\] as diagonals is :
A) \[\sqrt{72}\] done clear
B) \[\sqrt{73}\] done clear
C) \[\sqrt{74}\] done clear
D) \[\sqrt{75}\] done clear
View Answer play_arrowquestion_answer113) If \[\cos x+{{\cos }^{2}}x=1,\]then the value of \[{{\sin }^{12}}x+3{{\sin }^{10}}x+3{{\sin }^{8}}x+{{\sin }^{6}}x-1,\] is equal to :
A) 2 done clear
B) 1 done clear
C) -1 done clear
D) 0 done clear
View Answer play_arrowquestion_answer114) The product of all values of\[{{(\cos \alpha +i\sin \alpha )}^{3/5}}\]is :
A) 1 done clear
B) \[\cos \alpha +i\sin \alpha \] done clear
C) \[\cos 3\alpha +i\sin 3\alpha \] done clear
D) \[\cos 5\alpha +i\sin 5\alpha \] done clear
View Answer play_arrowquestion_answer115) The imaginary part of \[\frac{{{(1+i)}^{2}}}{i\,(2i-1)}\]is :
A) \[\frac{4}{5}\] done clear
B) \[0\] done clear
C) \[\frac{2}{5}\] done clear
D) \[-\frac{4}{5}\] done clear
View Answer play_arrowquestion_answer116) If \[{{\sin }^{-1}}x+{{\sin }^{-1}}y=\frac{\pi }{2},\] then \[{{\cos }^{-1}}x+{{\cos }^{-1}}y\]is equal to :
A) \[\frac{\pi }{2}\] done clear
B) \[\frac{\pi }{4}\] done clear
C) \[\pi \] done clear
D) \[\frac{3\pi }{4}\] done clear
View Answer play_arrowquestion_answer117) The equation of a directrix of the ellipse\[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{25}=1\]is:
A) 3y = 5 done clear
B) y = 5 done clear
C) 3y = 25 done clear
D) y = 3 done clear
View Answer play_arrowquestion_answer118) If the normal at \[(a{{p}^{2}},\,\,2ap)\]on the parabola\[{{y}^{2}}=4ax,\]meets the parabola again at\[(a{{q}^{2}},\,\,2aq),\] then :
A) \[{{p}^{2}}+pq+2=0\] done clear
B) \[{{p}^{2}}-pq+2=0\] done clear
C) \[{{q}^{2}}+pq+2=0\] done clear
D) \[{{p}^{2}}+pq+1=0\] done clear
View Answer play_arrowquestion_answer119) The length of the straight line \[x-3y=1\]intercepted by the hyperbola \[{{x}^{2}}-4{{y}^{2}}=1\] is :
A) \[\sqrt{10}\] done clear
B) \[\frac{6}{5}\] done clear
C) \[\frac{1}{\sqrt{10}}\] done clear
D) \[\frac{6}{5}\sqrt{10}\] done clear
View Answer play_arrowquestion_answer120) The curve described parametrically\[x={{t}^{2}}+2t-1,\]\[y=3t+5\]represents:
A) an ellipse done clear
B) a hyperbola done clear
C) a parabola done clear
D) a circle done clear
View Answer play_arrow
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