Recent questions tagged ch3

If $A$ and $B$ are two matrices such that $AB=B$ and $BA=A$ then $A^2+B^2=$

asked Apr 23, 2014 by sreemathi.v

1 answer

For each real numbers $x$ such that $-1 < x < 1$ let $A(x)$ be the matrix.$(1-x)^{-\large\frac{1}{2}}\begin{bmatrix}1&-x\\-x&1\end{bmatrix}$ and $z=\large\frac{x+y}{1+xy}$.Then

asked Apr 23, 2014 by sreemathi.v

1 answer

The roots of the equation $\begin{vmatrix}x-1&1&1\\1&x-1&1\\1&1&x-1\end{vmatrix}=0$ are

asked Apr 23, 2014 by sreemathi.v

1 answer

If a matrix A is such that $3A^3+2A^2+5A+I=0$ then its inverse is

asked Apr 23, 2014 by sreemathi.v

1 answer

If $A=\begin{bmatrix}0&1&0\\0&0&1\\1&-1&0\end{bmatrix}$ then $A^3+A$ equals

asked Apr 23, 2014 by sreemathi.v

1 answer

If $A$ and $B$ are square matrices of the same order and A is non-singular then for a positive integer n,$(A^{-1}BA)^n$ is equal to

asked Apr 23, 2014 by sreemathi.v

1 answer

If $a,b,c$ are in A.P with common difference d and $\begin{vmatrix}x+1&x+a&x+b\\x+a&x+b&x+c\\x-b+1&x-1&x-a+c\end{vmatrix}$ has absolute value 2 then d is

asked Apr 23, 2014 by sreemathi.v

1 answer

If $f(n)=\begin{vmatrix} n& 1&5\\n^2&2r+1&2r+1\\n^3&3r^2&3r+1\end{vmatrix}$ then $\sum\limits_{n=1}^ r f(n)$ is

asked Apr 22, 2014 by sreemathi.v

1 answer

If $S_r=\begin{vmatrix}2r&x&n(n+1)\\6r^2-1&y&n^2(2n+3)\\4r^32nr&z&n^3(n+1)\end{vmatrix}$ then value of $\sum\limits_{r=1}^n S_r$ is independent of

asked Apr 22, 2014 by sreemathi.v

1 answer

The repeated factor of $\begin{vmatrix}y+z&x&y\\z+x& z&x\\x+y& y&z\end{vmatrix}$ is

asked Apr 22, 2014 by sreemathi.v

1 answer

If $a,b,c$ are non zero real numbers,then $\begin{vmatrix}bc&ca&ab\\ca&ab&bc\\ab&bc&ca\end{vmatrix}$ vanishes when

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\sin 405^{\large\circ}$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $cosec(-\large\frac{41\pi}{4})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\sec(-\large\frac{25\pi}{3})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\cot(\large\frac{13\pi}{4})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\tan(\large\frac{-25\pi}{3})$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\cos \large\frac{17\pi}{2}$

asked Apr 22, 2014 by sreemathi.v

1 answer

Find the value of $\sin \large\frac{31\pi}{3}$

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sec x=-2$ and $\pi < x < \large\frac{3\pi}{2}$,find the value of all other five trigonometric functions.

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\cos x=-\large\frac{\sqrt{15}}{4}$ and $\large\frac{\pi}{2}$$ \lt x $$ \lt \pi$ ,find the value of $\sin x$

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sin x=-\large\frac{2\sqrt 6}{5}$ and $x$ lies in quadrant III,find the values of $\cos x$ and $\cot x$

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sin x+\cos x=a$,then $|\sin x-\cos x|=$________

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\sin x+\cos x=a$ then $\sin ^6x+\cos ^6x$=_______

asked Apr 22, 2014 by sreemathi.v

1 answer

If $\tan A=\large\frac{1-\cos B}{\sin B}$,then $\tan 2A$=_______

asked Apr 22, 2014 by sreemathi.v

1 answer

If $K=\sin\large\frac{5\pi}{8}$$\sin \large\frac{5\pi}{18}$$\sin \large\frac{7\pi}{18}$,then the numerical value of $K$ is _____

asked Apr 22, 2014 by sreemathi.v

1 answer

The value of $\large\frac{\sin 50^{\large\circ}}{\sin 130^{\large\circ}}$ is ________

asked Apr 22, 2014 by sreemathi.v

1 answer