Recent questions tagged mar-2007

Find the equation of the hyperbola if centre: $(0 , 0 )$ length of the semi-transverse axis is $6; e=3$ and the transverse axis is parallel to $y$-axis.

asked Jun 19, 2013 by sreemathi.v

1 answer

If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is

asked Jun 3, 2013 by poojasapani_1

1 answer

If in a poisson distribution $P(X=0)=k$ then the variance is

asked May 30, 2013 by poojasapani_1

1 answer

If $f(x)=\large\frac{A}{\pi}\frac{1}{16+x^{2'}}$$-\infty<x<\infty$\[\]is a p.d.f of a continuous random variable $X,$ then the value of $A$ is

asked May 28, 2013 by poojasapani_1

1 answer

In the set of integers under the operation $^\ast $ defined by $a^{\ast}b=a+b-1$ the identity element is

asked May 27, 2013 by poojasapani_1

1 answer

$p\leftrightarrow q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

The P.L of $(3D^{2}+D-14)y=13e^{2x}$ is

asked May 24, 2013 by poojasapani_1

1 answer

The degree of the differential equation $\Large\sqrt{1+\left(\frac{dy}{dx}\right)^{1/3}}=\frac{d^{2}y}{dx^{2}}$

asked May 23, 2013 by poojasapani_1

1 answer

Integrating factor of $\large\frac{dy}{dx}+\frac{1}{x\log x}$$.y=\large\frac{2}{x^{2}}$ is

asked May 22, 2013 by poojasapani_1

1 answer

The surface area of the solid of revolution of the region bounded by $y=2x,x=0$ and $x=2$ about $x$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

The area between the ellipse $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$=$1$ and its auxillary circle is

asked May 22, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi/4}\cos^{3}2x dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The curve $a^{2}y^{2}=x^{2}(a^{2}-x^{2})$ has

asked May 21, 2013 by poojasapani_1

1 answer

If $u=\log\begin{pmatrix}\large\frac{x^{2}+y^{2}}{xy}\end{pmatrix}$ then $x\large\frac{\partial u}{\partial x}+$$y\large\frac{\partial u}{\partial y}$ is

asked May 21, 2013 by poojasapani_1

1 answer

$\;\lim \limits_{x \to 0}\Large\frac{a^{x}-b^{x}}{c^{x}-d^{x}}$ is

asked May 18, 2013 by poojasapani_1

1 answer

If $s=r^{3}-4t^{2}+7,$ the velocity when the acceleration is zero is

asked May 16, 2013 by poojasapani_1

1 answer

The slope of the tangent to the curve $y=3x^{2}+3\sin x $ at $x=0 $ is

asked May 15, 2013 by poojasapani_1

1 answer

The co-ordinate of the vertices of the rectangular hyperbola $xy=16$ are

asked May 14, 2013 by poojasapani_1

1 answer

The difference between the focal dintences of any point on the hyperbola $\large\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=$$1$ is $24$ and the eccentricity is $2$. Then the equation of the hyperbola is

asked May 14, 2013 by poojasapani_1

1 answer

The eccentricity of the conic $9x^{2}+5y^{2}-54x-40y+116=0 $ is

asked May 13, 2013 by poojasapani_1

1 answer

The length of the latus rectum of the parabola $y^{2}-4x+4y+8=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

The equation having $4-3j$ and $4+3j $ as roots is

asked May 13, 2013 by poojasapani_1

1 answer

The polar form of the complex number $(i^{25})^{3}$ is

asked May 12, 2013 by poojasapani_1

1 answer

If $(m-5)+i(n+4)$ is the complex conjugate of $(2m+3)+i(3n-2)$ then $(n ,m )$are

asked May 11, 2013 by poojasapani_1

1 answer

The shortest distance of the point $(2 , 10 ,1 )$ from the plane $\overrightarrow{r}.(\overrightarrow{3i}-\overrightarrow{j}+\overrightarrow{4k})=2\sqrt{26}$ is

asked May 10, 2013 by poojasapani_1

1 answer

The point of intersection of the line $\overrightarrow{r}=(\overrightarrow{i}-\overrightarrow{k}) + t(\overrightarrow{3i}+\overrightarrow{2j}+\overrightarrow{7k})$ and the plane $\overrightarrow{r}. (\overrightarrow{i}+\overrightarrow{j}-\overrightarrow{k})=8 $ is

asked May 10, 2013 by poojasapani_1

1 answer

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

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 $\overrightarrow{a}$ 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

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

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

asked May 7, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $y=12x^{2}-2x^{3}-x^{4}$

asked May 6, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\]$f(x)=x^{3}-5x^{2}-3x\;[1,3]$

asked May 3, 2013 by poojasapani_1

1 answer

Find the length of the curve $x=a(t-\sin t),y=a(1-\cos t)$ between $t=0$and $\pi$.

asked Apr 30, 2013 by poojasapani_1

1 answer

Evaluate the following problems using properties of integration: $\int\limits_{0}^{3}\large\frac{\sqrt{x}dx}{\sqrt{x}+\sqrt{3-x}}$

asked Apr 27, 2013 by poojasapani_1

1 answer

If $x\;=\cos\;\alpha +i\sin\;\alpha\;;\; y\;= \cos\;\beta + i\sin \;\beta $ prove that $x^{m}y^{n} \;+\large \frac{1}{x^{m}y^{n}}$$= \;2\cos \;\left ( m\alpha + n\beta \right )$

asked Apr 19, 2013 by geethradh

1 answer

A discrete random variable $x$ has the following probability distribution. Find the value of $a$ \[\] $\begin{array} {llllllll} X:& 0& 1& 2& 3& 4& 5& 6& 7& 8 &\\ {P(X):}& a& 3a &5a& 7a& 9a &11a &13a &15a&17a \end{array}$

asked Apr 18, 2013 by poojasapani_1

0 answers

A discrete random variable $x$ has the following probability distributioxs.Find $p(x<3)$\[\]$\begin{array} {llllllll} X:& 0& 1& 2& 3& 4& 5& 6& 7& 8 &\\ {P(X):}& a& 3a &5a& 7a& 9a &11a &13a &15a&17a \end{array}$

asked Apr 18, 2013 by poojasapani_1

1 answer

A discrete random variable $x$ has the following probability distributioxs. Find$ p(3$$<$$x$$<$$7)$\[\]$\begin{array} {llllllll} X:& 0& 1& 2& 3& 4& 5& 6& 7& 8 &\\ {P(X):}& a& 3a &5a& 7a& 9a &11a &13a &15a&17a \end{array}$

asked Apr 18, 2013 by poojasapani_1

1 answer

If $\alpha $ and $\beta$ are the roots of the equation $ x^{2}-2px+\left ( p^{2} + q^{2}\right )=0 $ and $ tan \; \theta =\large \frac{q}{y+p} $ show that $ \large\frac{\left (y+\alpha \right )^{n}-\left ( y+\beta \right )^{n}}{\alpha -\beta }$ = $ q^{n-1}\large\frac{sin \;n\theta }{sin\;^{n}\theta }$

asked Apr 18, 2013 by geethradh

1 answer

Solve the following differential equation;$(D^{2}-1)$$y=\cos$$2x-2\sin$$2x$

asked Apr 16, 2013 by poojasapani_1

1 answer

Find the equation of rectangular hyperbola which has for one of its asymptotes the line $x+2y-5=0 $ and passes through the point $(6 , 0 ) $ and $(-3 , 0 )$ find its equation and asymptotes

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $y^{2}+8x-6y+1=0$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the meeting point of the line $\overrightarrow{r}(\overrightarrow{2i}+\overrightarrow{j}-\overrightarrow{3k}) + t(\overrightarrow{2i}-\overrightarrow{j}-\overrightarrow{k}) $ and the plane. $x-2y+3z+7=0$

asked Apr 8, 2013 by poojasapani_1

1 answer

Discuss the solutions of the system of equations for all values of $\lambda$. $ x+y+z=2\;,2x+y-2z=2\;,\lambda\;x+y+4z=2$

asked Apr 2, 2013 by poojasapani_1

1 answer

Find the inverse of following matrix :$\begin{bmatrix} 1 & 0 & 3 \\2 & 1 & -1 \\1 & -1 & 1 \end{bmatrix}$

asked Mar 28, 2013 by poojasapani_1

1 answer

Find the adjoint of the matrix A =$\begin{bmatrix} 1 & 2 \\3 & -5 \end{bmatrix}$ and verify the result $ A\;(adj\; A)=(adj\;A)\;A=$|$A$|$.I$

asked Mar 28, 2013 by poojasapani_1

1 answer

A discrete random variable X has the following probability distributions (see table below). (i) Find the value of a

asked Nov 27, 2012 by balaji.thirumalai

1 answer

Show that the set {[1], [3], [4], [5], [9]} forms an abelian group under multiplication modulo 11.

asked Nov 27, 2012 by balaji.thirumalai

1 answer

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