A) -4 and 2 done clear
B) 2 and 4 done clear
C) -2 and -4 done clear
D) 8 and -8 done clear
View Solution play_arrowA) 1 done clear
B) \[\frac{1}{2}\] done clear
C) \[\frac{1}{3}\] done clear
D) None of these done clear
View Solution play_arrowquestion_answer3) The area bounded by \[y={{x}^{2}}+3\] and \[y=2x+3\] is (in sq. units)
A) \[\frac{12}{7}\] done clear
B) \[\frac{4}{3}\] done clear
C) \[\frac{3}{4}\] done clear
D) \[\frac{8}{3}\] done clear
View Solution play_arrowA) \[\frac{1}{2}(9\,se{{c}^{-1}}3-\sqrt{8})\] sq. unit done clear
B) \[(9\,se{{c}^{-1}}3-\sqrt{8})\] sq. unit done clear
C) \[(\sqrt{8}-9\,\,se{{c}^{-1}}3)\]sq. unit done clear
D) None of the above done clear
View Solution play_arrowquestion_answer5) What is the area of the parabola \[{{x}^{2}}=y\] bounded by the line y = 1?
A) \[\frac{1}{3}\] square unit done clear
B) \[\frac{2}{3}\] square unit done clear
C) \[\frac{4}{3}\] square units done clear
D) 2 square units done clear
View Solution play_arrowA) \[\frac{1}{2}\] done clear
B) 1 done clear
C) \[\frac{3}{2}\] done clear
D) 2 done clear
View Solution play_arrowquestion_answer7) What is the area of the region enclosed by \[~y=2\left| x \right|\] and\[y=4\]?
A) 2 square unit done clear
B) 4 square unit done clear
C) 8 square unit done clear
D) 16 square unit done clear
View Solution play_arrowA) -1 done clear
B) 3 done clear
C) -3 done clear
D) 1 done clear
View Solution play_arrowA) 2 sq. unit done clear
B) 3 sq. unit done clear
C) 4 sq. unit done clear
D) None of these done clear
View Solution play_arrowA) 7/9 done clear
B) 14/3 done clear
C) 7/3 done clear
D) 14/9 done clear
View Solution play_arrowA) \[3\pi {{a}^{2}}\] sq. unit done clear
B) \[\frac{3\pi {{a}^{2}}}{2}\] sq. unit done clear
C) \[\frac{3\pi {{a}^{2}}}{4}\] sq. unit done clear
D) \[\frac{6\pi {{a}^{2}}}{5}\] sq. unit done clear
View Solution play_arrowA) 2 sq. units done clear
B) 1 sq. units done clear
C) 4 sq. units done clear
D) None of these done clear
View Solution play_arrowA) 2 done clear
B) \[\sqrt{2}\] done clear
C) \[{{2}^{1/3}}\] done clear
D) 1 done clear
View Solution play_arrowA) 2 done clear
B) (b \[\sqrt{2}\] done clear
C) \[{{2}^{1/3}}\] done clear
D) 1 done clear
View Solution play_arrowA) \[\frac{1}{3}\{4f(1)+f(2)\}\] done clear
B) \[\frac{1}{2}\{f(0)+4f(1)+f(2)\}\] done clear
C) \[\frac{1}{2}\{f(0)+4f(1)\}\] done clear
D) \[\frac{1}{3}\{f(0)+4f(1)+f(2)\}\] done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Solution play_arrowquestion_answer17) The area of the figure bounded by \[{{y}^{2}}=2x+1\]and \[x-y=1\] is
A) \[\frac{2}{3}\] done clear
B) \[\frac{4}{3}\] done clear
C) \[\frac{8}{3}\] done clear
D) \[\frac{16}{3}\] done clear
View Solution play_arrowA) \[x+1+\frac{x}{\sqrt{1+{{x}^{2}}}}\] done clear
B) \[x+\frac{x}{\sqrt{1+{{x}^{2}}}}\] done clear
C) \[1+\frac{x}{\sqrt{1+{{x}^{2}}}}\] done clear
D) \[\frac{x}{\sqrt{1+{{x}^{2}}}}\] done clear
View Solution play_arrowA) 1 done clear
B) 3 done clear
C) -1 done clear
D) 4 done clear
View Solution play_arrowquestion_answer20) What is the area bounded by y = tan x, y = 0 and\[x=\frac{\pi }{4}\]?
A) \[\ell \,n\,\,2\] square units done clear
B) \[\frac{\ell \,n\,\,2}{2}\]square units done clear
C) \[2(\ell n\,2)\] square units done clear
D) None of these done clear
View Solution play_arrowA) 1 square unit done clear
B) 2 square units done clear
C) 4 square units done clear
D) 8 square units done clear
View Solution play_arrowA) 2 sq. unit done clear
B) 4 sq. unit done clear
C) 6 sq. unit done clear
D) 8 sq. unit done clear
View Solution play_arrowA) \[\left( e+\frac{1}{e} \right)\] sq. unit done clear
B) \[\left( e-\frac{1}{e} \right)\] sq. unit done clear
C) \[\left( e+\frac{1}{e}-2 \right)\] sq. unit done clear
D) \[\left( e-\frac{1}{e}-2 \right)\] sq. unit done clear
View Solution play_arrowA) 1 sq. unit done clear
B) 2 sq. unit done clear
C) 4 sq. unit done clear
D) None of these done clear
View Solution play_arrowA) \[\sqrt{x-1}\] done clear
B) \[\sqrt{x+1}\] done clear
C) \[\sqrt{{{x}^{2}}+1}\] done clear
D) \[\frac{x}{\sqrt{1+{{x}^{2}}}}\] done clear
View Solution play_arrowA) \[e-1\] done clear
B) \[\int\limits_{1}^{e}{ln(e+1-y)dy}\] done clear
C) \[e-\int\limits_{0}^{1}{{{e}^{x}}dx}\] done clear
D) \[\int\limits_{1}^{e}{\,ln\,\,y\,\,dy}\] done clear
View Solution play_arrowA) \[\frac{\pi ab}{4}\] done clear
B) \[\frac{\pi ab}{32}\] done clear
C) \[\frac{3\pi ab}{32}\] done clear
D) \[\frac{5\pi ab}{32}\] done clear
View Solution play_arrowA) \[\frac{5}{12}\] done clear
B) \[\frac{7}{12}\] done clear
C) 1 done clear
D) \[\frac{4}{7}\] done clear
View Solution play_arrowA) \[(x-1)\cos (3x+4)\] done clear
B) \[sin(3x+4)\] done clear
C) \[\sin (3x+4)+3(x-1)\cos (3x+4)\] done clear
D) None of these done clear
View Solution play_arrowA) \[\left( \frac{\pi }{6}-\frac{\sqrt{3}+1}{8} \right)sq\,\,unit\] done clear
B) \[\left( \frac{\pi }{6}+\frac{\sqrt{3}-1}{8} \right)sq\,\,unit\] done clear
C) \[\left( \frac{\pi }{6}-\frac{\sqrt{3}-1}{8} \right)sq\,\,unit\] done clear
D) None of theses done clear
View Solution play_arrowA) 6 done clear
B) 1 done clear
C) 4 done clear
D) 2 done clear
View Solution play_arrowA) \[e+\frac{1}{e}\] done clear
B) \[e+\frac{1}{e}+2\] done clear
C) \[e+\frac{1}{e}-2\] done clear
D) \[e-\frac{1}{e}+2\] done clear
View Solution play_arrowA) 6 done clear
B) 9 done clear
C) 12 done clear
D) 3 done clear
View Solution play_arrowquestion_answer34) Area bounded by the curve \[x{{y}^{2}}={{a}^{2}}(a-x)\]and y-axis is
A) \[\pi {{a}^{2}}/2\] sq. units done clear
B) \[\pi {{a}^{2}}\] sq. units done clear
C) \[3\pi {{a}^{2}}\] sq. units done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{3}{5}\] done clear
B) \[\frac{3}{4}\] done clear
C) \[\frac{7}{8}\] done clear
D) \[\frac{5}{6}\] done clear
View Solution play_arrowA) 1 done clear
B) \[\frac{1}{2}\] done clear
C) \[\frac{1}{3}\] done clear
D) None of these done clear
View Solution play_arrowA) Area bounded by curve \[y=\frac{1}{1+{{x}^{2}}}\] and \[y=0\] is \[\frac{\pi }{2}\] done clear
B) Area bounded by \[{{c}_{1}}\] and \[{{c}_{2}}\] is \[\frac{\pi }{2}-1\] done clear
C) Area bounded by \[{{c}_{1}}\] and \[{{c}_{2}}\] is \[1-\frac{\pi }{2}\] done clear
D) Area bounded by curve \[y=\frac{1}{1+{{x}^{2}}}\] and x-axis is \[\frac{\pi }{2}\] done clear
View Solution play_arrowA) 4 sq. units done clear
B) 6 sq. units done clear
C) 10 sq. units done clear
D) None of these done clear
View Solution play_arrowA) \[\sqrt{2}\] done clear
B) \[2\sqrt{2}\] done clear
C) \[3\sqrt{2}\] done clear
D) None of these done clear
View Solution play_arrowA) 8 sq. units done clear
B) 4 sq. units done clear
C) 4/3 sq. units done clear
D) 8/3 sq. units done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) \[\pi \] done clear
D) \[2\pi \] done clear
View Solution play_arrowA) \[\frac{3\pi }{8}\] sq. unit done clear
B) \[\frac{5\pi }{8}\] sq. unit done clear
C) \[\frac{\pi }{2}\] sq. unit done clear
D) \[\frac{\pi }{8}\] sq. unit done clear
View Solution play_arrowA) \[\frac{3}{2}\] done clear
B) \[\frac{4}{3}\] done clear
C) \[\frac{8}{3}\] done clear
D) None of these done clear
View Solution play_arrowA) \[2+\frac{25}{2}{{\sin }^{-1}}\frac{4}{5}\] done clear
B) \[2+\frac{25}{4}{{\sin }^{-1}}\frac{4}{5}\] done clear
C) \[2+\frac{25}{2}{{\sin }^{-1}}\frac{1}{5}\] done clear
D) None of these done clear
View Solution play_arrowquestion_answer45) What is the area bounded by the curve \[y=4x-{{x}^{2}}-3\] and the x-axis?
A) 2/3 sq. unit done clear
B) 4/3 sq. unit done clear
C) 5/3 sq. unit done clear
D) 4/5 sq. unit done clear
View Solution play_arrowquestion_answer46) What is the area enclosed by the equation\[{{x}^{2}}+{{y}^{2}}=2\]?
A) \[4\pi \] square units done clear
B) \[2\pi \] square units done clear
C) \[4{{\pi }^{2}}\] square units done clear
D) 4 square units done clear
View Solution play_arrowA) \[\frac{13}{6}\] done clear
B) \[\frac{13}{2}\] done clear
C) \[\frac{13}{5}\] done clear
D) \[\frac{13}{7}\] done clear
View Solution play_arrowA) \[\frac{1}{\sqrt{3}}\] done clear
B) \[\frac{1}{2}\] done clear
C) 1 done clear
D) \[\frac{1}{3}\] done clear
View Solution play_arrowA) 3/2 done clear
B) 1 done clear
C) 5/4 done clear
D) -3/4 done clear
View Solution play_arrowA) \[\frac{5}{6}\] sq. unit done clear
B) \[\frac{6}{5}\] sq. unit done clear
C) \[\frac{1}{6}\] sq. unit done clear
D) 6 sq. unit done clear
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