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Recent questions tagged oct-2008

Solve : $x^4+4=0$

asked Jun 12, 2013 by sreemathi.v

1 answer

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

asked May 30, 2013 by poojasapani_1

1 answer

$X$ is a random variable taking the values $3, 4 $and $12$ with probabilities $\large\frac{1}{3},\frac{1}{4}$ and $\large\frac{4}{7}.$ Then $E(X)$ is

asked May 28, 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 multiplicative group of cube root of unity, the order of $w^{2}$ is

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is not a group?

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is a contradiction ?

asked May 24, 2013 by poojasapani_1

1 answer

A particular integral of $(D^{2}-4D+4)y=e^{2x}$ is

asked May 23, 2013 by poojasapani_1

1 answer

$y=cx-c^{2}$ is the general solution of the differential equation

asked May 22, 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

If $ \cos x $ is an integrating factor of the differential equation $\large\frac{dy}{dx}$$+Py=Q$ then $P$=

asked May 22, 2013 by poojasapani_1

1 answer

The volume, When the curve $y=\sqrt{3+x^{2}}$ from $x=0$ to $x=4$ is rotated about $x$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

The area bounded by the line $y=x,$ the $x$-axis,the ordinates $x=1,x=2$ 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

If $u=f\large\left(\frac {y}{x} \right) $ then $x\large\frac{\partial u}{\partial x}$+$y\large\frac{\partial u}{\partial y}$ is equal to

asked May 21, 2013 by poojasapani_1

1 answer

The curve $y^{2}(x-2)=x^{2}(1+x)$ has

asked May 21, 2013 by poojasapani_1

1 answer

If $u=x^{y}$ then$\large\frac{\partial u}{\partial x}$ is equal to

asked May 20, 2013 by poojasapani_1

1 answer

The least possible perimeter of a rectangle of area $100m^{2}$ is

asked May 18, 2013 by poojasapani_1

1 answer

$\;\lim \limits_{x \to \infty}\large\frac{x^{2}}{e^{x}}$ is

asked May 18, 2013 by poojasapani_1

1 answer

The rate of change of area $A$ of circle of a radius $r$ is

asked May 15, 2013 by poojasapani_1

1 answer

The locus of the point of intersection of perpendicular tangents to the hyperbola $\large\frac{x^{2}}{16}-\frac{y^{2}}{9}$=$1$ is

asked May 14, 2013 by poojasapani_1

1 answer

The straight line $2x-y+c=0$ is a tangent to the ellipse $ 4x^{2}+8y^{2}=32$ if $c$ is

asked May 13, 2013 by poojasapani_1

1 answer

The axis of the parabola $y^{2}-2y+8x-23=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

If$ -i+3 $ is a root of $x^{2}-6x+k=0 $ then the value of $k$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $x=\cos\theta+i\sin\theta $ the value of $x^{n}+\large\frac{1}{x^{n}}$ is

asked May 12, 2013 by poojasapani_1

1 answer

If $z$ represents a complex number then arg $(z)+arg(\overline{z})$ is

asked May 12, 2013 by poojasapani_1

1 answer

The centre and the radius of the sphere given by $x^{2}+y^{2}+z^{2}-6x+8y-10z+1=0$ is

asked May 11, 2013 by poojasapani_1

1 answer

If$[\overrightarrow{a}\times\overrightarrow{b},\overrightarrow{b}\times\overrightarrow{c},\overrightarrow{c}\times\overrightarrow{a}]=64$ then $[\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}]$ is

asked May 10, 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 $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

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

A particle of unit mass moves so that displacement after $t$ secs is given by $x=3\cos(2t-4).$ Find the acceleration and kinetic energy at the end of $2 \;secs.[ K.E =\large\frac{1}{2}$$mv^{2}\quad m $ is mass]

asked Apr 30, 2013 by poojasapani_1

1 answer

Find the perimeter of the circle with radius $a$.

asked Apr 30, 2013 by poojasapani_1

1 answer

Trace the curve $y$=$x^{3}$ Discuss the following curves for extence,symmetry,Asymptotes and loops

asked Apr 24, 2013 by poojasapani_1

1 answer

The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$ out of $1000$ taxi drivers find approximately the number of driver with more than $3$ accidents in a year $[e^{-3}=0.0498].$

asked Apr 21, 2013 by poojasapani_1

1 answer

The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$. Out of $1000$ taxi drivers find approximately the number of driver with no accident in a year .$[e^{-3} = 0.0498].$

asked Apr 21, 2013 by poojasapani_1

1 answer

For the p.d.f $f(x) = \left\{ \begin{array}{l l} cx(1-x)^{3}, & \quad \text{0 $<$ x$<$1}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ \[\]Find $p(x<\large\frac{1}{2})$

asked Apr 19, 2013 by poojasapani_1

1 answer

For the p.d.f $f(x) = \left\{ \begin{array}{l l} cx(1-x)^{3}, & \quad \text{0 $<$ x$<$1}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ \[\]Find the constant $c$

asked Apr 19, 2013 by poojasapani_1

1 answer

If $ \alpha$ and $\beta $ are the roots of $x^{2}-2x+4=0$. Prove that $\alpha ^{n}-\beta ^{n}=i2^{n+1}sin\large\frac{n\pi }{3}$ and calculate $\alpha ^{9}-\beta ^{9}$, where n $\in$ N?

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

Solve the following. $(1+x^{2}) \large\frac{dy}{dx}$$+2xy\;=\; \cos$$ x$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following $(x+y)^2 \large\frac{dy}{dx}$=$1$

asked Apr 15, 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 equation of the hyperbola if the asymptotes are $2x+3y-8=0$ and $3x-2y+1=0$ and $ (5 , 3 ) $ is a point on the hyperbola.

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre , foci , and vertices of the following hyperbolas and draw their diagrams: $x^{2}-3y^{2}+6x+6y+18=0$

asked Apr 11, 2013 by poojasapani_1

1 answer

if $\ \overrightarrow{a}= \overrightarrow{2i}+ \overrightarrow{3j}- \overrightarrow{k} , \overrightarrow{b}= -\overrightarrow{2i}+ \overrightarrow{5k}, \overrightarrow{c}= \overrightarrow{j}- \overrightarrow{3k}. $ Verify that $ \overrightarrow{a}\times ( \overrightarrow{b}\times \overrightarrow{c})= (\overrightarrow{a}. \overrightarrow{c}) \overrightarrow{b}- (\overrightarrow{a}. \overrightarrow{b})c$

asked Apr 5, 2013 by poojasapani_1

1 answer

Find the rank of the following matrix :$\begin{bmatrix} 1 & 2 & -1 &3 \\2 & 4 & 1 &-2 \\3 & 6 & 3 &-7 \end{bmatrix}$

asked Mar 29, 2013 by poojasapani_1

1 answer

Show that p ↔ q ≡ ((∼ p) ∨ q) ∧ ((∼ q) ∨ p)

asked Nov 27, 2012 by balaji.thirumalai

1 answer

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