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If $\overrightarrow{a}\times(\overrightarrow{b}\times \overrightarrow{c})+\overrightarrow{b} \times (\overrightarrow{c} \times \overrightarrow{a})+\overrightarrow{c} \times (\overrightarrow{a}\times \overrightarrow{b})=\overrightarrow{x}\times\overrightarrow{y} $ then

asked May 9, 2013 by poojasapani_1

1 answer

If $\overrightarrow{p} ,\overrightarrow{q}$ and $\overrightarrow{p}+\overrightarrow{q}$ are vectors of magnitude $\lambda$ than the magnitude of $|\overrightarrow{p}-\overrightarrow{q}|$ is

asked May 9, 2013 by poojasapani_1

1 answer

If $|\overrightarrow{a+b}|=|\overrightarrow{a-b}|$ then

asked May 9, 2013 by poojasapani_1

1 answer

The area of the parallelogram having a diagonal $\overrightarrow{3i}+\overrightarrow{j}-\overrightarrow{k}$ and a side $\overrightarrow{i}-\overrightarrow{3j}+\overrightarrow{4k} $ is

asked May 9, 2013 by poojasapani_1

1 answer

The vectors $\overrightarrow{2i}+\overrightarrow{3j}+\overrightarrow{4k} $ and $\overrightarrow{ai}+\overrightarrow{bj}+\overrightarrow{ck}$ are perpendicular when

asked May 9, 2013 by poojasapani_1

1 answer

If $\overrightarrow{a}+{b}+{c}=0,|\overrightarrow{a}|=3, |\overrightarrow{b}|=4,|\overrightarrow{c}|=5$ then the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is

asked May 9, 2013 by poojasapani_1

1 answer

If $A=\large\frac{1}{3}$$\begin{bmatrix} 2 & 2 & 1 \\-2 & 1 & 2 \\1 & -2 & 2 \end{bmatrix}$ prove that $A^{-1}=A^T$.

asked May 8, 2013 by poojasapani_1

1 answer

If $\overrightarrow{a}$ and $\overrightarrow{b} $ include an angle $120^{\circ}$ and their magnitude are $2$ and $\sqrt{3}$ then $\overrightarrow{a} .\overrightarrow{b} $ is equal to

asked May 8, 2013 by poojasapani_1

1 answer

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

If $\;A=\small\frac{1}{\pi}$$\begin{bmatrix}sin^{-1}(\pi x) &tan^{-1}\big(\frac{\pi}{x}\big)\\ sin^{-1}\big(\frac{\pi}{x} \big)&cot^{-1}(\pi x)\end{bmatrix}\;$ and $\;B=\small\frac{1}{\pi} $$\begin{bmatrix}-cos^{-1}(\pi x) &tan^{-1}\big(\frac{x}{\pi}\big)\\ sin^{-1}\big(\frac{x}{\pi} \big)&-tan^{-1}(\pi x)\end{bmatrix}$ then $A-B$ is equal to

asked Mar 10, 2013 by sreemathi.v

1 answer

The solution of the differential equation $\large\frac{dy}{dx}+\frac{2xy}{(1+x^2)}=\frac{1}{(1+x^2)^2}$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

The solution of the differential equation $\large\frac{dy}{dx}$$=e^{x-y}+x^2e^{-y}$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

The general solution of the differential equation $(e^x+1)ydy=(y+1)e^xdx$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

Solution of the differential equation $\large\frac{dy}{dx}+\frac{y}{x}$$=\sin x$ is:

asked Jan 20, 2013 by sreemathi.v

1 answer

General solution of $\frac{dy}{dx} + y\tan x = \sec x$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

Which of the following is the general solution of $\large\frac{d^2y}{dx^2}$$-2\large\frac{dy}{dx}$$+y=0$

asked Jan 20, 2013 by sreemathi.v

1 answer

The differential equation of the family of curves $y^2=4a(x+a)$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

The order and degree of the differential equation $\bigg[1+\bigg(\large\frac{dy}{dx}\bigg)^2\bigg]=\bigg(\large\frac{d^2y}{dx^2}\bigg)$ are

asked Jan 20, 2013 by sreemathi.v

1 answer

The order and degree of the differential equation $\bigg(\frac{d^3y}{dx^3}\bigg)^2+3\frac{d^2y}{dx^2}+2\bigg(\frac{dy}{dx}\bigg)^4=y^4$ are

asked Jan 20, 2013 by sreemathi.v

1 answer

The solution of $\large\frac{dy}{dx}$$+y=e^{-x},y(0)=0$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

The differential equation for which $y=a\cos x+b\sin x$ is a solution is \[(A)\;\frac{d^2y}{dx^2}+y=0 \quad (B)\;\frac{d^2y}{dx^2}-y=0 \quad (C)\;\frac{d^2y}{dx^2}+(a+b)y=0 \quad (D)\;\frac{d^2y}{dx^2}+(a+b)y=0\]

asked Jan 20, 2013 by sreemathi.v

1 answer

The solution of the equation $(2y-1)dx-(2x+3)dy=0$ is\[(A)\;\frac{2x-1}{2y+3}=k \quad (B)\;\frac{2y+1}{2x-3}=k \quad (C)\;\frac{2x+3}{2y-1}=k \quad (D)\;\frac{2x-1}{2y+1}=k \]

asked Jan 20, 2013 by sreemathi.v

1 answer

The general solution of the differential equation $\large\frac{dy}{dx} $$=e^{\large\frac{x^2}{2}}+xy$ is :\[(A)\;y=ce^{\large\frac{x^2}{2}} \quad (B)\;y=-ce^{\large\frac{x^2}{2}} \quad (C)\;y=(x+c)e^{\large\frac{x^2}{2}} \quad (D)\;y=(c-x)e^{\large\frac{x^2}{2}}\]

asked Jan 19, 2013 by sreemathi.v

1 answer

The curve for which the slope of the tangent at any point is equal to the ratio of the abscissa to the ordinate of the point is

asked Jan 19, 2013 by sreemathi.v

1 answer

The general solution of $\large\frac{dy}{dx}$$=2xe^{x^2-y}$ is: \[(A)\;e^{x^2-y}=c \quad (B)\;e^{-y}+e^{x^2}=c \quad(C)\;e^y=e^{x^2}+c \quad (D)\;e^{x^2}+y=c\]

asked Jan 19, 2013 by sreemathi.v

1 answer

Family $Y=Ax+A^3$ of curves will correspond to a differential equation of order \[(A)\;3\quad(B)\;2\quad(C)\;1\;(D)\;not\;defined\]

asked Jan 19, 2013 by sreemathi.v

1 answer

The differential equation of the family of curves $x^2+y^2-2ay=0$,where a is arbitrary constant,is\[(A)\;(x^2-y^2)\frac{dy}{dx}=2xy \quad (B)\;2(x^2+y^2)\frac{dy}{dx}=xy \quad (C)\;2(x^2-y^2)\frac{dy}{dx}=xy \quad (D)\;2(x^2+y^2)\frac{dy}{dx}=2xy\]

asked Jan 19, 2013 by sreemathi.v

1 answer

The solution of $x \large\frac{dy}{dx}$$+y=e^x$ is:\[(A)\;y=\frac{e^x}{x}+\frac{k}{x} \quad (B)\;y=xe^x+cx \quad (C)\;y=xe^x+k \quad (D)\;x=\frac{e^y}{y}-\frac{k}{y}\]

asked Jan 19, 2013 by sreemathi.v

1 answer

The solution of the differential equation $\cos x\sin y\;dx+\sin x\cos y\;dy=0$ is:

asked Jan 19, 2013 by sreemathi.v

1 answer

$y=ae^{mx}+be^{-mx}$ satisfies which of the following differential equation?

asked Jan 18, 2013 by sreemathi.v

1 answer

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