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Recent questions in CBSE XII
Questions
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CBSE XII
CBSE XII
Math
Physics
Chemistry
Biology
Integrate the functions\[\frac{x^2}{\sqrt{x^6+a^6}}\]
cbse
class12
bookproblem
ch7
sec4
q8
p315
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{\sec^2x}{\sqrt{\tan^2x+4}}\]
cbse
class12
bookproblem
ch7
sec4
q9
p315
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{x^2+2x+2}}\]
cbse
class12
bookproblem
ch7
sec4
q10
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{9x^2+6x+5}\]
cbse
class12
bookproblem
ch7
sec4
q11
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{7-6x-x^2}}\]
cbse
class12
bookproblem
ch7
sec4
q12
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{(x-1)(x-2)}}\]
cbse
class12
bookproblem
ch7
sec4
q13
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{1}{\sqrt{8+3x-x^2}}\]
cbse
class12
bookproblem
ch7
sec4
q14
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions $\frac{1}{\sqrt{(x-a)(x-b)}}$
cbse
class12
bookproblem
ch7
sec4
q15
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{4x+1}{\sqrt{2x^2+x-3}}\]
cbse
class12
bookproblem
ch7
sec4
q16
p316
sec-b
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{x+2}{\sqrt{x^2-1}}\]
cbse
class12
bookproblem
ch7
sec4
q17
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{5x-2}{1+2x+3x^2}\]
cbse
class12
bookproblem
ch7
sec4
q18
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{6x+7}{\sqrt{(x-5)(x-4)}}\]
cbse
class12
bookproblem
ch7
sec4
q19
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{x+2}{\sqrt{4x-x^2}}\]
cbse
class12
bookproblem
ch7
sec4
q20
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{x+2}{\sqrt{x^2+2x+3}}\]
cbse
class12
bookproblem
ch7
sec4
q21
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{x+3}{x^2-2x-5}\]
cbse
class12
bookproblem
ch7
sec4
q22
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{5x+3}{\sqrt{x^2+4x+10}}\]
cbse
class12
bookproblem
ch7
sec4
q23
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize\frac{\large dx}{\large x^2+2x+2}$ equals
cbse
class12
bookproblem
ch7
sec4
q24
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
$\Large \int \normalsize\frac{dx}{\sqrt{9x-4x^2}}$ equals
cbse
class12
bookproblem
ch7
sec4
q25
p316
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{x}{(x+1)(x+2)}\]
cbse
class12
bookproblem
ch7
sec5
q1
p322
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions $\frac{1}{x^2-9}$
cbse
class12
bookproblem
ch7
sec5
q2
p322
sec-c
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{3x-1}{(x-1)(x-2)(x-3)}\]
cbse
class12
bookproblem
sec5
ch7
q3
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{x}{(x-1)(x-2)(x-3)}\]
cbse
class12
bookproblem
ch7
sec5
q4
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions $\frac{2x}{x^2+3x+2}$
cbse
class12
bookproblem
ch7
sec5
q5
p322
sec-b
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{1-x^2}{x(1-2x)}\]
cbse
class12
bookproblem
ch7
sec5
q6
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{x}{(x^2+1)(x-1)}\]
cbse
class12
bookproblem
ch7
sec5
q7
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{x}{(x-1)^2(x+2)}\]
cbse
class12
bookproblem
ch7
sec5
q8
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{3x+5}{x^3-x^2-x+1}\]
cbse
class12
bookproblem
sec5
ch7
q9
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{2x-3}{(x^2-1)(2x+3)}\]
cbse
class12
bookproblem
ch7
sec5
q10
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{5x}{(x+1)(x^2-4)}\]
cbse
class12
bookproblem
ch7
sec5
q11
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{x^3+x+1}{x^2-1}\]
cbse
class12
bookproblem
ch7
sec5
q12
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions\[\frac{2}{(1-x)(1+x^2)}\]
cbse
class12
bookproblem
ch7
sec5
q13
p322
sec-c
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions$\;\large\frac{3x-1}{(x+2)^2}$
cbse
class12
bookproblem
ch7
sec5
q14
p322
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the rational functions $\frac{1}{x^4-1}$
cbse
class12
bookproblem
ch7
sec5
q15
p322
sec-b
difficult
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Find $| a × b |$, if $a = \hat i - 7\hat j + 7\hat k$ and $b = 3\hat i - 2\hat j + 2\hat k$
cbse
class12
bookproblem
ch10
sec4
q1
p454
medium
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find a unit vector perpendicular to each of the vector \( \overrightarrow a + \overrightarrow b\) and \( \overrightarrow a - \overrightarrow b\), where \( \overrightarrow a = 3\hat i + 2\hat j + 2\hat k\) and \( \overrightarrow b = \hat i + 2\hat j - 2\hat k\)
cbse
class12
bookproblem
ch10
sec4
q2
p454
easy
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
If a unit vector \(\overrightarrow a\) makes angles \( \frac{\large \pi}{\large 3} \) with \( \hat i, \frac{\large \pi}{\large 3} \) with \( \hat j\) and an acute angle \(θ\) with \( \hat k\) , then find \( θ \) and hence, the components of \( \overrightarrow a \) .
cbse
class12
bookproblem
ch10
sec4
q3
p454
easy
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Show that $ ( \overrightarrow a - \overrightarrow b) \times ( \overrightarrow a + \overrightarrow b) = 2 ( \overrightarrow a \times \overrightarrow b) $
cbse
class12
bookproblem
ch10
sec4
q4
p454
easy
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find $λ$ and $μ$ if $ ( 2\hat i + 6\hat j + 27\hat k)\times (\hat i + λ\hat j + μ\hat k) = \overrightarrow 0$
cbse
class12
bookproblem
ch10
sec4
q5
p454
easy
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Given that $\overrightarrow a . \overrightarrow b = 0$ and $ \overrightarrow a$ x $\overrightarrow b = \overrightarrow 0$ What can you conclude about the vectors $\overrightarrow a$ and $ \overrightarrow b$?
cbse
class12
bookproblem
ch10
sec4
q6
p454
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Let the vectors \( \overrightarrow a, \overrightarrow b, \overrightarrow c\) be given as \(a_1\hat i + a_2\hat j + a_3\hat k, \: b_1\hat i + b_2\hat j + b_3\hat k, \: c_1\hat i + c_2\hat j + c_3\hat k \). Then show that \( \overrightarrow a × (\overrightarrow b + \overrightarrow c) = \overrightarrow a × \overrightarrow b + \overrightarrow a × \overrightarrow c\)
cbse
class12
bookproblem
ch10
sec4
q7
p454
medium
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
If either $ \overrightarrow a = \overrightarrow 0 $ or $ \overrightarrow b = \overrightarrow 0 $ then $ \overrightarrow a × \overrightarrow b = \overrightarrow 0$. Is the converse true? Justify your answer with an example.
cbse
class12
bookproblem
ch10
sec4
q8
p454
easy
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find the area of the triangle with vertices $A(1, 1, 2), B(2, 3, 5)$ and $C(1, 5, 5)$.
cbse
class12
bookproblem
ch10
sec4
q9
p454
easy
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find the area of the parallelogram whose adjacent sides are determined by the vectors $ \overrightarrow a = \hat i - \hat j + 3\hat k$ and $\overrightarrow b = 2\hat i - 7 \hat j + \hat k$
cbse
class12
bookproblem
ch10
sec4
q10
p455
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Let the vectors $ \overrightarrow a$ and $ \overrightarrow b$ be such that $| \overrightarrow a | = 3$ and $ |\overrightarrow b | = \frac{\large \sqrt 2}{\large 3}$ , then $\overrightarrow a \times \overrightarrow b$ is a unit vector, if the angle between $ \overrightarrow a$ and $ \overrightarrow b$ is
cbse
class12
bookproblem
ch10
sec4
q11
p455
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Area of a rectangle having vertices $A, B, C$ and $D$ with position vectors $ -\hat i + \large\frac{1}{2}$$ \hat j + 4\hat k, \: \hat i +\large \frac{1}{2}$$ \hat j + 4\hat k, \: \hat i -\large \frac{1}{2}$$ \hat j + 4\hat k$ and $-\hat i -\large \frac{1}{2}$$ \hat j + 4\hat k$ respectively is
cbse
class12
bookproblem
ch10
sec4
q12
p455
medium
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Write down a unit vector in XY plane, making an angle of 30 degress with the positive direction of $x$ axis.
cbse
class12
bookproblem
ch10
misc
q1
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find the scalar components and magnitude of the vector joining the points $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$
cbse
class12
bookproblem
ch10
misc
q2
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
A girl walks 4 km towards west, then she walks 3 km in a direction 30° east of north and stops. Determine the girl’s displacement from her initial point of departure.
cbse
class12
bookproblem
ch10
misc
q3
p458
difficult
sec-b
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
If $\overrightarrow a = \overrightarrow b + \overrightarrow c$, then is it true that $| \overrightarrow a | = | \overrightarrow b | + | \overrightarrow c |$? Justify your answer.
cbse
class12
bookproblem
ch10
misc
q4
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Find the value of $x$ for which $x(\hat i + \hat j +\hat k)$ is a unit vector.
cbse
class12
bookproblem
ch10
misc
q5
p458
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
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