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Recent questions tagged objective
Questions
If $\begin{bmatrix}2x + y & 4x\\5x - 7 & 4x\end{bmatrix}=\begin{bmatrix}7 & 7y - 13\\y & x + 6\end{bmatrix},$then the value of x,y is
cbse
class12
ch3
q55
p59
objective
exemplar
sec-a
easy
math
asked
Dec 23, 2012
by
sreemathi.v
1
answer
Total number of possible matrices of order $3\times 3$ with each entry 2 or 0 is
cbse
class12
ch3
q54
p59
objective
exemplar
math
sec-a
asked
Dec 23, 2012
by
sreemathi.v
1
answer
The matrix $P=\begin{bmatrix}0 & 0 & 4\\0 & 4 & 0\\4 & 0 & 0\end{bmatrix}$ is a
cbse
class12
ch3
q53
p59
objective
exemplar
sec-a
easy
math
asked
Dec 23, 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
The number of real solutions of the equation$\sqrt{1+\cos2x}=\sqrt 2\cos^{-1}(\cos x)\;in\begin{bmatrix}\frac{\Large \pi}{2},\pi\end{bmatrix}$
cbse
class12
ch2
q36
p39
objective
exemplar
easy
sec-b
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If $\cos^{-1}\alpha+\cos^{-1}\beta+\cos^{-1}\gamma=3\pi$,then $\alpha(\beta+\gamma)+\beta(\gamma+\alpha)+\gamma(\alpha+\beta)$ equals\[(A)\;0\quad(B)\quad 1\quad(C)\quad 6\quad(D)\quad 12\]
cbse
class12
ch2
q35
p39
objective
exemplar
medium
sec-b
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
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
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
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 $\sin^{-1}\frac{2a}{1+a^2} +\cos^{-1}\frac{1-a^2}{1+a^2}=\tan^{-1}\frac{2x}{1-x^2},where\; a,x,\in\;[0,1],$then the value of x is
cbse
class12
ch2
q31
p38
objective
exemplar
medium
sec-b
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
The value of $\sin(\tan^{-1}(.75))$ is equal to
cbse
class12
ch2
q27
p38
objective
exemplar
medium
sec-b
math
asked
Dec 20, 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
Let $\; f:R \rightarrow R$ be given as $\;f(x)=\tan x $. Then $\;f^{-1}(1)$ is
cbse
class12
ch1
q47
p16
objective
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $f:R \rightarrow R$ be defined by $ f(x)=\left \{ \begin{array}{1 1} 2x:x>3\\x^2:1<1x\leq 3\\ 3x:x\leq1\end{array} \right.$ $Then\;f(-1)+f(2)+f(4)\;is$
cbse
class12
ch1
q46
p16
objective
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $ f:N\rightarrow R$ be the function defined by $f(x)=\frac{2x-1}{2}\;and\;g:\;Q \rightarrow R $ be another function defined by g(x)=x+2. Then $(g\;o\;f)\frac{3}{2}$ is
cbse
class12
ch1
q45
p16
objective
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $f:[2,\infty)\rightarrow R $ be the function defined by $f(x)=x^2-4x+5,$ then the range of f is
cbse
class12
ch1
q44
p16
objective
exemplar
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $f :[0,1]\rightarrow[0,1]$ be defined by$$ f(x)= \left \{ \begin{array}{1 1}\;x,if\;x\;is\;rational & \;\\1-x,if\;x\;is\;irrational & \;\end{array} \right.$$ Then $(f o f)x$ is $$\begin{array}{1 1}(A)\;constant & (B)\;1+x\\(C)\;x & (D)\;none\;of\;these\end{array}$$
cbse
class12
ch1
q43
p15
objective
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $f:R-\{\frac{3}{5}\}\rightarrow R$ be defined by $f(x)=\Large {\frac{3x+2}{5x-3}}$ .Then
cbse
class12
ch1
q42
p15
objective
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $f:A\rightarrow B\;and\;g:B\rightarrow C$ be the bijective functions.Then $(g\;o\;f)^{-1}$ is
cbse
class12
ch1
q41
p15
objective
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let f:$R\rightarrow R$ be the functions defined by $f(x)=x^3+5.$ Then $f^{-1}(x)$ is
cbse
class12
ch1
q40
p15
objective
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Which of the following functions from Z into Z are bijections?\begin{array}{1 1}(A)\;f(x)=x^3 & (B)\;f(x)=x+2\\(C)\;f(x)=2x+1 & (D)\;f(x)=x^2+1\end{array}
cbse
class12
ch1
q39
p15
objective
exemplar
math
sec-a
asked
Dec 19, 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
Let A={1,2,3,....n} and B={a,b}. Then the number of surjection from A into B is \begin{array}{1 1}(A)\quad"p_2 \qquad & (B)\quad 2"-2\\ (C)\quad 2^n-1 \qquad & (D)\quad none\;of\;these\end{array}
cbse
class12
ch1
q36
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is
cbse
class12
ch1
q35
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
The identity element for the binary operation $\ast$ defined on $Q\sim \{0\}$ as $a\ast b=\large{\frac{ab}{2}} \normalsize \;a,b\in Q\sim\{0\}$ is
cbse
class12
ch1
q34
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let A={1,2,3} and consider the relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}.Then R is:
cbse
class12
ch1
q33
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let us define a relation R in R as aRb if $a \geq b$.Then R is
cbse
class12
ch1
q32
p14
objective
exemplar
sec-b
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
If a relation R on the set (1,2,3) be defined by R={(1,2)}, then R is
cbse
class12
ch1
q31
p14
objective
exemplar
sec-b
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
The maximum number of equivalence relations on the set A={1,2,3} are
cbse
class12
ch1
q30
p14
objective
exemplar
sec-b
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Consider the non-empty set consisting of children in a family and a relation R defined as aRb if a is brother of b.Then R is
cbse
class12
ch1
q29
p13
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $T$ be the set of all triangles in the Euclidean plane, and let a relation $R$ on $T$ be defined as $aRb$. If a is congruent to b where $a,b\in T$, then $R$ is:
cbse
class12
ch1
q28
p13
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
$A=[a_{ij}]_{m \times n}$ is a square matrix if
cbse
class12
bookproblem
ch3
sec1
q8
p65
objective
math
sec-a
asked
Dec 7, 2012
by
sreemathi.v
1
answer
if $A = \begin{bmatrix} cos\alpha & -sin\alpha \\ sin\alpha & cos\alpha \end{bmatrix} $ then $ A + A' = I, $ if the value of $\alpha$ is
cbse
class12
bookproblem
ch3
sec3
q12
p90
easy
shortanswer
objective
sec-a
math
asked
Nov 23, 2012
by
pady_1
1
answer
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