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Recent questions tagged sec-a
Questions
The result $\tan^{-1}x-\tan^{-1}y=\tan^{-1}\bigg(\Large {\frac{x-y}{1+xy}}\normalsize \bigg)$ is true when value of xy is _____________.
cbse
class12
ch2
q47
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $y=2\tan^{-1}x+\sin^{-1}\frac{2x}{1+x^2}$ for all x,then _________< y < ___________.
cbse
class12
ch2
q46
p40
fitb
exemplar
easy
sec-a
sec-b
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of expression $\tan\bigg(\Large \frac{\sin^{-1}x+\cos^{-1}x}{2} \normalsize\bigg),when\;x=\frac{\sqrt 3}{2}$ is _______________.
cbse
class12
ch2
q45
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of $\cos(\sin^{-1}x+\cos^{-1}x),|x|\leq 1$ is _____________.
cbse
class12
ch2
q44
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of $\cos^{-1}\bigg(\cos\frac{14\pi}{3}\bigg)$ is _____________.
cbse
class12
ch2
q43
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The principal value of $ \tan^{-1}\sqrt 3 $ is _______________.
cbse
class12
ch2
q42
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The set of values of $\sec^{-1}\big(\frac{1}{2}\big)$ is ______________.
cbse
class12
ch2
q41
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $\cos(\tan^{-1}x+\cot^{-1}\sqrt 3)=0,$then the value of $x$ is _______________.
cbse
class12
ch2
q40
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of $\sin^{-1}\bigg(\sin\frac{3\pi}{5}\bigg)$ is ________________.
cbse
class12
ch2
q39
p40
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The principal value of $\cos^{-1}\bigg(-\Large {\frac{1}{2}}\normalsize \bigg)$ is_____________.
cbse
class12
ch2
q38
p39
fitb
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $\cos^{-1}x\;>\;\sin^{-1}x,$ then \begin{array}{1 1}(A)\quad\frac{1}{\sqrt 2}<x\leq 1& (B)\quad 0\leq x<\frac{1}{\sqrt 2}\\(C)\quad -1\leq x<\frac{1}{\sqrt 2} & (D)\quad x>0\end{array}
cbse
class12
ch2
q37
p39
objective
exemplar
medium
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
Find the value of x, if \[ \begin {bmatrix} 3x+y & -y \\ 2y-x & 3 \end {bmatrix} = \begin {bmatrix} 1 & 2 \\ -5 & 3 \end {bmatrix} \]
cbse
class12
2009
sec-a
matrices
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
Let * be a binary operation on N given by a * b = HCF (a, b) , a, b \( \in \) N. Write the value of 22 * 4.
cbse
class12
modelpaper
2009
sec-a
q2
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\Large\frac{1}{\sqrt 2}} \mathrm \: \frac{\large 1}{\large \sqrt{1-x^2}} dx $
cbse
class12
modelpaper
2009
sec-a
q3
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
Evaluate : $ \int \mathrm \: \frac{\large \cos \sqrt x}{\large \sqrt x} dx $
cbse
class12
modelpaper
2009
sec-a
q4
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
If $|\;x\;|\leq 1,then\;2\tan^{-1}x+\sin^{-1}\frac{2x}{1+x^2}$ is equal to:
cbse
class12
ch2
q34
p39
objective
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
Write the principal value of \( \cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg). \)
cbse
class12
modelpaper
2009
sec-a
q5
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
Write the value of the following determinant : $ \begin {vmatrix} a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c \end {vmatrix} $
cbse
class12
modelpaper
2009
sec-a
q6
math
asked
Dec 21, 2012
by
thanvigandhi_1
1
answer
Find the value of x from the following : $\begin {bmatrix} x & 4 \\ 2 & 2x \end {bmatrix} = 0 $
cbse
class12
modelpaper
2009
sec-a
q7
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
Find the value of p if \( ( 2\hat i + 6\hat j + 27\hat k )\) x \( ( \hat i + 3\hat j + p\hat k ) = \overrightarrow 0. \)
cbse
class12
modelpaper
2009
sec-a
q8
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
The value of the expression $\tan\bigg(\frac{1}{2}\cos^{-1}{\frac{2}{\sqrt 5}}\bigg)$ is:
cbse
class12
ch2
q33
p39
objective
exemplar
medium
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
Write the direction cosines of a line equally inclined to the three coordinate axes.
cbse
class12
modelpaper
2009
sec-a
q9
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
If \( \overrightarrow P \) is a unit vector and \( ( \overrightarrow x - \overrightarrow p ). ( \overrightarrow x + \overrightarrow p ) = 80\), then find \( | \overrightarrow x | \).
cbse
class12
modelpaper
2009
sec-a
q10
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
The value of $\cot\bigg(\cos^{-1}\frac{7}{25}\bigg)$ is
cbse
class12
ch2
q32
p39
objective
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $\tan^{-1}x+\tan^{-1}y=\frac{4\pi}{5},then\;\cot^{-1}x+\cot^{-1}y$ equals:
cbse
class12
ch2
q30
p38
objective
exemplar
medium
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of the expression $2\sec^{-1}2+\sin^{-1}\frac{1}{2}$ is:
cbse
class12
ch2
q29
p38
objective
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
The value of $\cos^{-1}\bigg(\cos\frac{3\pi}{2}\bigg)$ is equal to:
cbse
class12
ch2
q28
p38
objective
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $\cos\bigg(\sin^{-1}\frac{2}{5}+\cos^{-1}x\bigg)=0$,then x is equal to
cbse
class12
ch2
q26
p38
objective
exemplar
medium
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
The domain of the function defined by $f(x)=\sin^{-1}\sqrt{x-1}$ is
cbse
class12
ch2
q25
p38
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
The domain of the function $\cos^{-1}(2x-1)$ is
cbse
class12
ch2
q24
p38
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
The value of $\sin^{-1}\bigg(\cos\frac{33\pi}{5}\bigg)$ is
cbse
class12
ch2
q23
p37
objective
exemplar
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
If $3\tan^{-1}x+\cot^{-1}x=\pi$ then $x$ equals
cbse
class12
ch2
q22
p37
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Which of the following is the principal value branch of $\text{cosec}^{-1}x$?
cbse
class12
ch2
q21
p37
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Which of the following is the principal value branch of $\cos^{-1}x$?
cbse
class12
ch2
q20
p37
objective
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the value of x, if $\begin {bmatrix} 3x+y & -y \\ 2y-x & 3 \end{bmatrix} = \begin {bmatrix} 1 & 2 \\ -5 & 3 \end{bmatrix} $
cbse
class12
modelpaper
2009
sec-a
q1
ch3
easy
math
asked
Dec 20, 2012
by
thanvigandhi_1
1
answer
Find the value of $\tan^{-1}\bigg(\tan{\frac{2\pi}{3}}\bigg)$
cbse
class12
ch2
q5
p35
exemplar
easy
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
If \( f(x) = x + 7\) and \( g(x) = x - 7, x \in \: R \) , find ( fog ) (7)
cbse
class12
modelpaper
2008-1
sec-a
q1
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Evaluate : $ \sin \bigg[ \large\frac{\pi}{3}$$ - \sin^{-1} \bigg(-\large\frac{1}{2} \bigg) \bigg] $
cbse
class12
bookproblem
2008-1
sec-a
q2
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Find the value of $x$ and $y$ if : $ 2\begin{bmatrix} 1 & 3 \\[0.3em] 0 & x \\[0.3em] \end{bmatrix} + \begin{bmatrix} y & 0 \\[0.3em] 1 & 2 \\[0.3em] \end{bmatrix} = \begin{bmatrix} 5 & 6 \\[0.3em] 1 & 8 \\[0.3em] \end{bmatrix}$
cbse
class12
modelpaper
2008-1
sec-a
q3
ch3
easy
math
asked
Dec 20, 2012
by
thanvigandhi_1
1
answer
Evaluate : $\begin{bmatrix} a+ib & c+id \\[0.3em] -c+id & a-ib \\[0.3em] \end{bmatrix}$
cbse
class12
modelpaper
2008-1
sec-a
q4
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Find the co-factor of \(a_{12} \) in the following : $ \begin{bmatrix} 2 & -3 & 5 \\[0.3em] 6 & 0 & 4 \\[0.3em] 1 & 5 & -7 \end{bmatrix}$
cbse
class12
modelpaper
2008-1
sec-a
q5
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Evaluate : $\int \mathrm \: \large\frac{x^2}{1+x^3} $$dx $
cbse
class12
modelpaper
2008-1
sec-a
q6
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Evaluate : $\int_0^1 \mathrm \: \large\frac{dx}{1+x^2} $
cbse
class12
modelpaper
2008-1
sec-a
q7
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Find a unit vector in the direction of \( \overrightarrow a = 3\hat i - 2\hat j + 6\hat k \)
cbse
class12
modelpaper
2008-1
sec-a
q8
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Find the angle between the vectors : \( \overrightarrow a = \hat i - \hat j + \hat k \) and \( \overrightarrow b = \hat i + \hat j - \hat k \)
cbse
class12
modelpaper
2008-1
sec-a
q9
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Find the value of $\; \tan^{-1}\bigg(\tan{\frac{5\pi}{6}}\bigg)+\cos^{-1}\bigg(\cos{\frac{13\pi}{6}}\bigg)$
cbse
class12
ch2
q1
p35
short-answer
exemplar
medium
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
For what value of \( \lambda\) are the vectors \( \overrightarrow a = 2\hat i + \lambda\hat j + \hat k \) and \( \overrightarrow b = \hat i - 2\hat j + 3\hat k \) perpendicular to each other?
cbse
class12
modelpaper
2008-1
sec-a
q10
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Let n be a fixed positive integer.Define a relation R in Z as follows: a,b E\inE Z, aRb if and only if a-b is divisible by n. Show that R is an equivalence relation.
cbse
class12
ch1
q15
p12
short-answer
exemplar
sec-a
easy
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Let $f:R\rightarrow R $ be defined by $f(x)=3x^2-5\; and \;g:R\rightarrow R \;by \;g(x)=\Large {\frac{x}{x^2+1}}$.Then g o f is
cbse
class12
ch1
q38
p15
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $f\;:\;R\rightarrow R$ be defined by $f(x)\;=\;\frac{1}{x}\quad x\;\in\; R.$Then f is
cbse
class12
ch1
q37
p15
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
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