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Recent questions in CBSE XII
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CBSE XII
CBSE XII
Math
Physics
Chemistry
Biology
Integrate the function $\;\int\;e^{2x}\sin\; x$
cbse
class12
bookproblem
ch7
sec6
q21
p328
sec-b
difficult
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sin^{-1}\bigg(\large\frac{2x}{1+x^2}\bigg)$
cbse
class12
bookproblem
ch7
sec6
q22
p328
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area of the circle $4x^2 + 4y^2 = 9$ which is interior to the parabola $x^2 = 4y$.
cbse
class12
bookproblem
ch8
sec2
q1
p371
sec-c
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area bounded by curves $(x - 1)^2 + y^2 = 1$ and $x^2 + y^2 = 1$.
cbse
class12
bookproblem
ch8
sec2
q2
p371
sec-c
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region bounded by the curves \(y = x^2 + 2, y = x, \: x = 0\) and \(x = 3.\)
cbse
class12
bookproblem
ch8
sec2
q3
p371
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Using integration find the area of region bounded by the triangle whose vertices are $(-1, 0), (1, 3) $ and $(3, 2)$.
cbse
class12
bookproblem
ch8
sec2
q4
p371
sec-c
difficult
math
asked
Dec 4, 2012
by
thanvigandhi_1
2
answers
Using integration find the area of the triangular region whose sides have the equations \(y = 2x + 1, y = 3x + 1\) and \(x = 4.\)
cbse
class12
bookproblem
ch8
sec2
q5
p371
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in $\Large \int \normalsize x^2e^{x^3}\;dx $ equals
cbse
class12
bookproblem
ch7
sec6
q23
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the smaller area enclosed by the circle \(x^2 + y^2 = 4\) and the line \(x + y = 2\) is \[ \begin{array}{1} (A)\;2(\pi - 2) \qquad & (B)\;\pi - 2 \qquad &(C)\;2\pi - 1 \qquad & (D)\;2 ( \pi + 2) \end{array} \]
cbse
class12
bookproblem
ch8
sec2
q6
p372
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the area lying between the curves \(y^2 = 4x\) and \(y = 2x\) is
cbse
class12
bookproblem
ch8
sec2
q7
p372
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in $\int e^x\sec x(1+\tan x)\;dx$ equals
cbse
class12
bookproblem
ch7
sec6
q24
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Find the area under the given curves and given lines: $ (i) \: y = x^2, x = 1, x = 2 \: and\: x - axis$
cbse
class12
bookproblem
ch8
misc
q1
q1-1
p375
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area between the curves \(y = x\) and \(y = x^2.\)
cbse
class12
bookproblem
ch8
misc
q2
p375
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
2
answers
Find the area of the region lying in the first quadrant and bounded by $y = 4x^2, x = 0, y = 1$ and $y = 4$.
cbse
class12
bookproblem
ch8
misc
q3
p375
sec-a
medium
math
aims-12-math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area bounded by the curve $(y = \sin\; x) $ between $ (x = 0) $ and $(x = 2π).$
cbse
class12
bookproblem
ch8
misc
q5
p375
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area enclosed between the parabola \(y^2 = 4ax\) and the line \(y = mx.\)
cbse
class12
bookproblem
ch8
misc
q6
p375
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area enclosed by the parabola \(4y = 3x^2\) and the line \(2y = 3x + 12.\)
cbse
class12
bookproblem
ch8
misc
q7
p375
sec-c
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the smaller region bounded by the ellipse \( \frac{\large x^2}{\large 9} + \frac{\large y^2}{\large 4} =1\) and the line \( \frac{\large x}{\large 3}+ \frac{\large y}{\large 2}= 1\)
cbse
class12
bookproblem
ch8
misc
q8
p375
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the smaller region bounded by the ellipse \(\Large { \frac{ x^2}{ a^2}}+\Large { \frac{ y^2}{ b^2}} =\normalsize 1\) and the line \(\Large { \frac{ x}{ a}}+\Large { \frac{y}{ b}} =\normalsize1\)
cbse
class12
bookproblem
ch8
misc
q9
p375
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region enclosed by the parabola \(x^2 = y\), the line \(y = x + 2\) and the \(x\) - axis.
cbse
class12
bookproblem
ch8
misc
q10
p375
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Using the method of integration find the area bounded by the curve I x I + I y I =1 . [Hint: The required region is bounded by lines \(x + y = 1, x - y = 1, -x + y = 1\) and \( -x -y = 1\)].
cbse
class12
bookproblem
ch8
misc
q11
p375
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area bounded by curves {(x, y)$ : y\: \geq\: x^2\: and \: y = |\; x\; |$}.
cbse
class12
bookproblem
ch8
misc
q12
p376
sec-b
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B(4, 5) and C(6, 3).
cbse
class12
bookproblem
ch8
misc
q13
p376
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Using the method of integration find the area of the region bounded by lines: \(2x + y = 4, 3x - 2y = 6\) and \(x - 3y + 5 = 0\)
cbse
class12
bookproblem
ch8
misc
q14
p376
sec-c
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Find the area of the region ${(x, y) : y^2\: \leq \: 4x, 4x^2 + 4y^2\: \leq\: 9}$
cbse
class12
bookproblem
ch8
misc
q15
p376
sec-c
difficult
modelpaper
2012
q26
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the area bounded by the curve $ y = x^3$, the $x$ - axis and the ordinates $x = -2$ and $x = 1$ is
cbse
class12
bookproblem
ch8
misc
q16
p376
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the the area bounded by the curve $y = x |\; x\; | ,\; x$ - axis and the ordinates $x = -1$ and $x = 1$ is given by [Hint : $y = x^2$ if $x > 0$ and $y = -x^2$ if $x < 0$].
cbse
class12
bookproblem
ch8
misc
q17
p376
sec-a
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in the the area of the circle \(x^2 + y^2 = 16\) exterior to the parabola \(y^2 = 6x\) is \[\begin{array} (A) \frac{4}{3} (4\pi - \sqrt 3) \quad &(B) \frac{4}{3} (4\pi + \sqrt 3) \quad & (C) \frac{4}{3} (8\pi - \sqrt 3) \quad & (D) \frac{4}{3} (8\pi + \sqrt 3) \end{array}\]
cbse
class12
bookproblem
ch8
misc
q18
p376
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Integrate the function\[\sqrt{4-x^2}\]
cbse
class12
bookproblem
ch7
sec7
q1
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[\sqrt{1-4x^2}\]
cbse
class12
bookproblem
ch7
sec7
q2
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+4x+6}$
cbse
class12
bookproblem
ch7
sec7
q3
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+4x+1}$
cbse
class12
bookproblem
ch7
sec7
q4
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{1-4x-x^2}$
cbse
class12
bookproblem
ch7
sec7
q5
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+4x-5}$
cbse
class12
bookproblem
ch7
sec7
q6
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{1+3x-x^2}$
cbse
class12
bookproblem
ch7
sec7
q7
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{x^2+3x}$
cbse
class12
bookproblem
ch7
sec7
q8
p330
sec-a
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[\sqrt{1+\frac{x^2}{9}}\]
cbse
class12
bookproblem
ch7
sec7
q9
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize \sqrt{1+x^2}dx$ is equal to \[\begin{array}{l}(A)\;\frac{x}{2}\sqrt{1+x^2}+\frac{1}{2}log\LARGE\mid\normalsize\bigg(x+\sqrt{1+x^2}\bigg)\LARGE\mid\normalsize+C \\(B)\;\frac{2}{3}(1+x^2)^\frac{3}{2}+C\qquad \\ (C)\;\frac{2}{3}x(1+x^2)^\frac{3}{2}+ C \\ (D)\;\frac{x^2}{2}\sqrt{1+x^2}+\frac{1}{2}x^2log\LARGE\mid\normalsize x+\sqrt{1+x^2}\LARGE\mid\normalsize+C \end{array}\]
cbse
class12
bookproblem
ch7
sec7
q10
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $ \Large \int \normalsize \sqrt{x^2-8x+7} \: dx$ is equal to\[ \begin{array}{l} (A)\frac{1}{2}(x-4)\sqrt{x^2-8x+7}+9\;log\mid x-4+\sqrt{x^2-8x+7}\mid + \; C \\ (B)\frac{1}{2}(x+4)\sqrt{x^2-8x+7}+9\;log\mid x+4+\sqrt{x^2-8x+7}\mid + \; C \\ (C) \frac{1}{2}(x-4)\sqrt{x^2-8x+7}-3\sqrt2log\mid x-4+\sqrt{x^2-8x+7}\mid+ \; C \\ (D)\frac{1}{2}(x-4)\sqrt{x^2-8x+7}-\frac{9}{2}\;log\mid x-4+\sqrt{x^2-8x+7}\mid + \; C \end{array}\]
cbse
class12
bookproblem
ch7
sec7
q11
p330
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the the area bounded by the \(y\) - axis, \(y = \cos\: x\) and \(y = \sin\: x\) when \(0 \leq x \leq \frac{\large \pi}{2}\) is
cbse
class12
bookproblem
ch8
misc
q19
p376
sec-c
difficult
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral as limits of sums $\displaystyle\int\limits_a^bx\;dx$
cbse
class12
bookproblem
ch7
sec8
q1
p334
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral as limits of sums $\displaystyle\int\limits_0^5(x+1)dx$
cbse
class12
bookproblem
ch7
sec8
q2
p334
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral as limits of sums $\begin{align*}\int\limits_2^3x^2dx \end{align*}$
cbse
class12
bookproblem
ch7
sec8
q3
p334
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral as limits of sums\[\int\limits_1^4(x^2-x)dx\]
cbse
class12
bookproblem
ch7
sec8
q4
p334
sec-c
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral as limits of sums\[\int\limits_{-1}^1e^xdx\]
cbse
class12
bookproblem
ch7
sec8
q5
p334
sec-b
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral as limits of sums $\displaystyle\int\limits_0^4(x+e^{2x})dx$
cbse
class12
bookproblem
ch7
sec8
q6
p334
sec-c
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_{-1}^1(x+1)dx\]
cbse
class12
bookproblem
ch7
sec9
q1
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_2^3\frac{1}{x}dx\]
cbse
class12
bookproblem
ch7
sec9
q2
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_1^2(4x^3-5x^2+6x+9)\;dx\]
cbse
class12
bookproblem
ch7
sec9
q3
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Evaluate the definite integral\[\int\limits_0^\frac{\Large \pi}{\Large 4}\sin 2x\;dx\]
cbse
class12
bookproblem
ch7
sec9
q4
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
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