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Recent questions in Objective type Questions and Answers
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TN XII Math
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Objective type Questions and Answers
If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two unit vectors and $\theta $is the angle between them, then $(\overrightarrow{a}+\overrightarrow{b})$ is a unit vector if
tnstate
class12
bookproblem
p265
objective
q21
modelpaper
oct-2006
oct-2007
mar-2008
oct-2009
asked
May 8, 2013
by
poojasapani_1
1
answer
If $\overrightarrow{a}$ is a non-zero vector and $m$ is a non-zero scalar then $m\overrightarrow{a} $ is a unit vector if
tnstate
class12
bookproblem
p265
objective
q20
modelpaper
mar-2007
asked
May 8, 2013
by
poojasapani_1
1
answer
If the equation $-2x+y+z=i\;;x-2y+z=m\;;x+y-2z=n$ such that $i+m+n=0,$ then the system has
tnstate
class12
bookproblem
p265
objective
q19
modelpaper
mar-2006
jun-2006
asked
May 8, 2013
by
poojasapani_1
1
answer
If $ae^{x}+be^{y}=c; pe^{x}+qe^{y}=d $ and $\bigtriangleup_{1}=\begin{vmatrix} a&b \\p&q \end{vmatrix}; \bigtriangleup_{2}=\begin{vmatrix} c&b\\d&q \end{vmatrix}; \bigtriangleup_{3}=\begin{vmatrix} a&c\\p&d \end{vmatrix}$ than the value of $(x , y )$ is
tnstate
class12
bookproblem
p265
objective
q18
asked
May 7, 2013
by
poojasapani_1
0
answers
The system of equations $ax+y+z=0; x+by+z=0; x+y+cz=0 $ has a non-trivial solution then $\large\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=$
tnstate
class12
bookproblem
p264
objective
q17
modelpaper
mar-2007
mar-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
In a system of $3$ linear non-homogeneous equation with three unknowns,if $\bigtriangleup=0\;$ and $\;\bigtriangleup_{x}=0 ,\bigtriangleup_y\neq 0 $ and $ \bigtriangleup_z=0$ then the system has
tnstate
class12
bookproblem
p264
objective
q16
modelpaper
jun-2006
jun-2007
mar-2010
asked
May 7, 2013
by
poojasapani_1
1
answer
Inverse of $\begin{bmatrix}2& -1 \\-5 & 3 \end{bmatrix}$ is
tnstate
class12
bookproblem
p264
objective
q15
modelpaper
mar-2006
oct-2007
oct-2008
oct-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$=$\begin{bmatrix} 0 & 0 \\0 & 5 \end{bmatrix}$, then $A^{12}$ is
tnstate
class12
bookproblem
p264
objective
q14
modelpaper
jun-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$ and $B$ are any two matrices such that $AB=O$ and $A$ is non-singular, then
tnstate
class12
bookproblem
p264
objective
q13
modelpaper
mar-2007
oct-2007
mar-2008
mar-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
If $I$ is the unit matrix of order $n$. Where$K\neq 0$ is a constsnt , then adj (KI)=
tnstate
class12
bookproblem
p264
objective
q12
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$ is a matrix of order $3$, then det($kA$)
tnstate
class12
bookproblem
p264
objective
q11
modelpaper
oct-2006
oct-2007
jun-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
The inverse of the matrix $\begin{bmatrix} 0 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 0 \end{bmatrix}$ is
tnstate
class12
bookproblem
p264
objective
q10
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$ is a square matrix of order $n$ then |adj$A$| is
tnstate
class12
bookproblem
p264
objective
q9
modelpaper
mar-2006
jun-2006
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$=$\begin{bmatrix} 2 & 1 \\3 & 4 \end{bmatrix}$, than (adj $A)A$=
tnstate
class12
bookproblem
p263
objective
q8
modelpaper
mar-2007
jun-2007
oct-2008
asked
May 7, 2013
by
poojasapani_1
1
answer
If the matrix $\begin{bmatrix} -1 & 3 & 2 \\1 & k & -3 \\1 & 4 & 5 \end{bmatrix}$ has an inverse than the value of $k$
tnstate
class12
bookproblem
p263
objective
q7
modelpaper
oct-2006
oct-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$ is a scalar matrix with scalar $k \neq 0$ of order $3$ than $A^{-1}$ is
tnstate
class12
bookproblem
p263
objective
q6
modelpaper
oct-2007
mar-2008
jun-2008
oct-2008
mar-2010
asked
May 7, 2013
by
poojasapani_1
1
answer
If the rank of the matrix$\begin{bmatrix} \lambda & -1 & 0 \\0 & \lambda & -1 \\-1 & 0 & \lambda \end{bmatrix}$ is $2$, than $\lambda$ is
tnstate
class12
bookproblem
p263
objective
q5
modelpaper
jun-2008
oct-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
If A=$\begin{bmatrix} 2& 0& 1 \end{bmatrix}$ than the rank of $AA^{T}$is
tnstate
class12
bookproblem
p263
objective
q3
modelpaper
oct-2006
mar-2008
jun-2009
asked
May 6, 2013
by
poojasapani_1
1
answer
If A=$\begin{bmatrix} 1\\ 2 \\ 3 \end{bmatrix}$ than the rank of $AA^{T}$is
tnstate
class12
bookproblem
p263
objective
q4
modelpaper
mar-2009
asked
May 6, 2013
by
poojasapani_1
1
answer
The rank of the diagonal matrix $\begin{bmatrix} -1 & & \\ & -2 & \\ & & 0\\& & &-4\\ & & & &0 \end{bmatrix}$
tnstate
class12
bookproblem
p263
objective
q2
modelpaper
mar-2010
asked
May 6, 2013
by
poojasapani_1
1
answer
The rank of the matrix $\begin{bmatrix} 1 & -1 & 2 \\2 & -2 & 4 \\4 & -4 & 8 \end{bmatrix}$ is
tnstate
class12
bookproblem
p263
objective
q1
asked
May 6, 2013
by
poojasapani_1
1
answer
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