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Questions >> TN XII Math >> 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

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

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

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

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 $\large\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=$

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

asked May 7, 2013 by poojasapani_1

1 answer

Inverse of $\begin{bmatrix}2& -1 \\-5 & 3 \end{bmatrix}$ is

asked May 7, 2013 by poojasapani_1

1 answer

If $A$ = $\begin{bmatrix} 0 & 0 \\0 & 5 \end{bmatrix}$ , then $A^{12}$ is

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

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)=

asked May 7, 2013 by poojasapani_1

1 answer

If $A$ is a matrix of order $3$ , then det( $kA$ )

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

asked May 7, 2013 by poojasapani_1

1 answer

If $A$ is a square matrix of order $n$ then |adj $A$ | is

asked May 7, 2013 by poojasapani_1

1 answer

If $A$ = $\begin{bmatrix} 2 & 1 \\3 & 4 \end{bmatrix}$ , than (adj $A)A$ =

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 $k$

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

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

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

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

asked May 6, 2013 by poojasapani_1

1 answer

The rank of the diagonal matrix $\begin{bmatrix} -1 & & \\ & -2 & \\ & & 0\\& & &-4\\ & & & &0 \end{bmatrix}$

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

asked May 6, 2013 by poojasapani_1

1 answer

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