question_answer1) Which term of the A.P. 8, 14, 20, 26, ... will be 72 more than its 41st term ?
View Answer play_arrowquestion_answer2) From a solid right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.
View Answer play_arrowquestion_answer3) If the \[{{10}^{th}}\] term of an A.P. is 52 and the \[{{17}^{th}}\] term is 20 more than the \[{{13}^{th}}\] term, find the A.P.
View Answer play_arrowquestion_answer4) If the roots of the equation \[\left( {{c}^{2}}-ab \right){{x}^{2}}-2\left( {{a}^{2}}-bc \right)x+{{b}^{2}}-ac=0\] in \[x\] are equal, then show that either a\[=0\] or\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3abc\].
View Answer play_arrowquestion_answer5) Solve for x: \[\frac{1}{2x-3}+\frac{1}{x-5}=1\frac{1}{9},x\ne \frac{3}{2},5\]
View Answer play_arrowquestion_answer6) A train covers a distance of 300 km at a uniform speed. If the speed of the train is increased by 5 km/ hour, it takes 2 hours less in the journey. Find the original speed of the train.
View Answer play_arrowquestion_answer7) A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car changes from \[30{}^\circ \] to \[45{}^\circ \] in 12 minutes, find the time taken by the car now to reach the tower.
View Answer play_arrowquestion_answer8)
In the given figure, \[\Delta \,ABC\] is a right-angled triangle in which \[\angle A\] is \[90{}^\circ \]. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region. |
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