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Recent questions tagged sec2
Questions
Find the values of the expression $ \tan \bigg( \sin^{-1} \frac{3}{5} + \cot^{-1} \frac{3}{2} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q18
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the expression $\cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q19
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of each of the expressions in $ \sin \bigg(\frac{\pi}{3} - \sin^{-1} ( -\frac{1}{2} ) \bigg) $ is equal to
cbse
class12
bookproblem
ch2
sec2
q20
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of $ \tan^{-1} \sqrt 3 - \cot^{-1} (-\sqrt 3)$
cbse
class12
bookproblem
ch2
sec2
q21
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Let $f:\;N\;\to N\;be\;defined\;by\;f(n)= \left\{ \begin{array}{1 1} \frac{n+1}{2}, & if\;n\;is\;odd\\ \frac{n}{2}, & if\;is\;even\end{array} \right. \qquad for\;all\;n \in N$ \[\text{state whether the function f is bijective.Justify your answer.} \]
cbse
class12
bookproblem
ch1
sec2
q9
p11
medium
sec-b
math
asked
Dec 10, 2012
by
sreemathi.v
1
answer
Compute the indicated products\begin{array}{1 1 1}(i)\;\begin{bmatrix}a & b\\-b & a\end{bmatrix}\begin{bmatrix}a &-b\\b & a\end{bmatrix}\;(ii)\;\begin{bmatrix}1\\2\\3\end{bmatrix}\begin{bmatrix}2 & 3 & 4\end{bmatrix} & (iii)\;\begin{bmatrix}1 & -2\\2 & 3\end{bmatrix}\begin{bmatrix}1 & 2 & 3\\2 & 3 & 1\end{bmatrix}\\(iv)\;\begin{bmatrix}2 & 3 &4\\3 & 4 &4\\4 & 5 & 6\end{bmatrix}\begin{bmatrix}1 & -3 & 5\\0 & 2 &4\\3 & 0 & 5\end{bmatrix} & (v)\;\begin{bmatrix}2 & 1\\3 & 2\\-1 & 1\end{bmatrix}\begin{bmatrix}1 & 0 &1\\-1 & 2 & 1\end{bmatrix}\\(vi)\;\begin{bmatrix}3 & -1 &3\\-1 & 0 &2\end{bmatrix}\begin{bmatrix}2 & -3\\1 & 0\\3 & 1\end{bmatrix}\end{array}
cbse
class12
bookproblem
ch3
sec2
q3
p80
easy
math
asked
Dec 7, 2012
by
sreemathi.v
1
answer
Let $ A\;=\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}, B\;=\begin{bmatrix}1 & 3\\-2 & 5\end{bmatrix}, C\;=\begin{bmatrix}-2 & 5\\3 & 4\end{bmatrix}$\[Find\;each\;of\;the\;following:\]\[(i)\;A+B\qquad(ii)\;(A-B)\qquad(iii)\;3A-C\]\[(iv)\;AB\qquad(v)BA\]
cbse
class12
bookproblem
ch3
sec2
q1
p80
shortanswer
easy
math
sec-b
asked
Dec 7, 2012
by
sreemathi.v
1
answer
Compute the following $\;\begin{bmatrix}a^2+b^2 & b^2+c^2\\a^2+c^2 & a^2+b^2\end{bmatrix}+\begin{bmatrix}2ab & 2bc\\-2ac & 2ab\end{bmatrix}$
cbse
class12
bookproblem
ch3
sec2
q2-2
p80
easy
shortanswer
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following\[3\sin^{-1}x=\sin^{-1}(3x-4x^3)\;x\in\bigg[-\frac{1}{2},\frac{1}{2}\bigg]\]
cbse
class12
bookproblem
ch2
sec2
q1
p47
easy
sec-b
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following \[3\cos^{-1}x=\cos^{-1}(4x^3-3x), \;x\;\in\bigg[\frac{1}{2},1\bigg]\]
cbse
class12
bookproblem
ch2
sec2
q2
p47
veryshort
easy
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Prove the following\[\tan^{-1}\frac{2}{11}+\tan^{-1}\frac{7}{24}=\tan^{-1}\frac{1}{2}\]
cbse
class12
bookproblem
ch2
sec2
q3
p47
easy
sec-b
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Compute the magnitude of the following vectors: $(i)\;\overrightarrow a = \hat i + \hat j + \hat k$
cbse
class12
bookproblem
ch10
sec2
q1
q1-1
p440
sec-a
easy
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Write two different vectors having same magnitude.
cbse
class12
bookproblem
ch10
sec2
q2
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Write two different vectors having same direction.
cbse
class12
bookproblem
ch10
sec2
q3
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the values of $x$ and $y$ so that the vectors $2\hat i + 3\hat j$ and $x\hat i + y\hat j$ are equal.
cbse
class12
bookproblem
ch10
sec2
q4
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the scalar and vector components of the vector with initial point $(2, 1)$ and terminal point $(– 5, 7).$
cbse
class12
bookproblem
ch10
sec2
q5
p440
medium
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the sum of the vectors $\overrightarrow a=\hat i − 2\hat j + \hat k, \overrightarrow b=−2\hat i + 4\hat j + 5\hat k$ and $\overrightarrow c = \hat i − 6\hat j – 7\hat k$ .
cbse
class12
bookproblem
ch10
sec2
q6
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the unit vector in the direction of the vector $ \overrightarrow a = \hat i + \hat j + 2\hat k$ .
cbse
class12
bookproblem
ch10
sec2
q7
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the unit vector in the direction of vector $ \overline{PQ}$, where $P$ and $Q$ are the points $(1, 2, 3)$ and $(4, 5, 6)$ respectively.
cbse
class12
bookproblem
ch10
sec2
q8
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
For given vectors, $ \overrightarrow a=2\hat i − \hat j + 2\hat k$ and $ \overrightarrow b=−\hat i + \hat j − \hat k$, find the unit vector in the direction of the vector $ \overrightarrow a +\overrightarrow b.$
cbse
class12
bookproblem
ch10
sec2
q9
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find a vector in the direction of vector $5\hat i − \hat j + 2\hat k$ which has magnitude $8$ units.
cbse
class12
bookproblem
ch10
sec2
q10
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Show that the vectors \(2\hat i − 3\hat j + 4\hat k\) and \(− 4\hat i + 6\hat j − 8\hat k\) are collinear.
class12
bookproblem
ch10
sec2
q11
p440
easy
sec-a
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the direction cosines of the vector $\hat i + 2\hat j + 3\hat k$
cbse
class12
bookproblem
ch10
sec2
q12
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the direction cosines of the vector joining the points $A(1, 2, –3)$ and $B(–1, –2, 1),$ directed from $A$ to $B$.
cbse
class12
bookproblem
ch10
sec2
q13
p440
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Show that the vector $ \hat i + \hat j + \hat k$ is equally inclined to the axes OX, OY and OZ.
cbse
class12
bookproblem
ch10
sec2
q14
p440
medium
sec-b
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are $ \hat i + 2\hat j − \hat k$ and $ – \hat i + \hat j + \hat k$ respectively, in the ratio $2 : 1$ internally
cbse
class12
bookproblem
ch10
sec2
q15
q15-1
p440
medium
sec-b
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the position vector of the mid point of the vector joining the points $P(2, 3, 4)$ and $Q(4, 1, –2)$.
cbse
class12
bookproblem
ch10
sec2
q16
p441
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Show that the points A, B and C with position vectors, \( \overrightarrow a = 3\hat i − 4\hat j − 4\hat k, \overrightarrow b = 2\hat i − \hat j + \hat k\) and \( \overrightarrow c = \hat i − 3\hat j − 5\hat k\) , respectively form the vertices of a right angled triangle.
cbse
class12
bookproblem
ch10
sec2
q17
p441
medium
sec-b
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
If $\overrightarrow a$ and $ \overrightarrow b$ are two collinear vectors, then which of the following are incorrect:
cbse
class12
bookproblem
ch10
sec2
q19
p441
sec-a
easy
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Integrate the function$\frac{\large 2x}{\large 1+x^2}$
cbse
class12
bookproblem
ch7
sec2
q1
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function$\frac{(\large log \; x)^2}{\large x}$
cbse
class12
bookproblem
ch7
sec2
q2
p304
sec-a
modelpaper
2012
q9
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large 1}{\large x+x\;log x}$
cbse
class12
bookproblem
ch7
sec2
q3
p304
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\sin x\sin(\cos x)$
cbse
class12
bookproblem
ch7
sec2
q4
p304
sec-a
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\sin(ax+b)\;\cos(ax+b)$
cbse
class12
bookproblem
ch7
sec2
q5
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\sqrt{ax+b}$
cbse
class12
bookproblem
ch7
sec2
q6
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $x\;\sqrt{x+2}$
cbse
class12
bookproblem
ch7
sec2
q7
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $x\;\sqrt{1+2x^2}$
cbse
class12
bookproblem
ch7
sec2
q8
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $(4x+2)\sqrt{x^2+x+1}$
cbse
class12
bookproblem
ch7
sec2
q9
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large 1}{\large x-\sqrt x}$
cbse
class12
bookproblem
ch7
sec2
q10
p304
sec-a
medium
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large x}{\large \sqrt{x+4}},x\;>\;0$
cbse
class12
bookproblem
ch7
sec2
q11
p304
sec-b
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $(x^3-1)^\frac{1}{3}\;x^5$
cbse
class12
bookproblem
ch7
sec2
q12
p304
sec-a
difficult
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large x^2}{(\large 2+3x^3)^3}$
cbse
class12
bookproblem
ch7
sec2
q13
p304
sec-a
medium
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large 1}{\large x(log x)^m},x\;>\;0$
cbse
class12
bookproblem
ch7
sec2
q14
p304
sec-a
difficult
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large x}{\large 9-4x^2}$
cbse
class12
bookproblem
ch7
sec2
q15
p304
sec-b
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $e^{2x+3}$
cbse
class12
bookproblem
ch7
sec2
q16
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large x}{\large e^{x^2}}$
cbse
class12
bookproblem
ch7
sec2
q17
p304
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\Large \frac{\large e^{\tan^{-1}x}}{\large 1+x^2}$
cbse
class12
bookproblem
ch7
sec2
q18
p305
sec-a
easy
modelpaper
q1
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large e^{2x}-1}{\large e^{2x}+1}$
cbse
class12
bookproblem
ch7
sec2
q19
p305
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large e^{2x}-e^{-2x}}{\large e^{2x}+e^{-2x}}$
cbse
class12
bookproblem
ch7
sec2
q20
p305
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\tan^2(2x-3)$
cbse
class12
bookproblem
ch7
sec2
q21
p305
sec-b
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
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