Recent questions tagged mar-2009

$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid 2z-3\mid=2$

asked Jun 10, 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

Variance of the random variable $X$ is$4$ .Its mean is $2.$ Then $E(X^{2})$ is

asked May 28, 2013 by poojasapani_1

1 answer

$X$ is a discrete random variable which takes the values $0, 1, 2 $ and $P(X=0)=\large\frac{144}{169},$$ P(X=1)=\large\frac{1}{169}$ then the value of $P(X=2)$ is

asked May 28, 2013 by poojasapani_1

1 answer

The order of $[7]$ in $(Z_{9},+_{9})$ is

asked May 24, 2013 by poojasapani_1

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Which of the following is a tautology?

asked May 24, 2013 by poojasapani_1

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The conditional statement $ p\to q$ is equivalent to

asked May 24, 2013 by poojasapani_1

1 answer

The differential equation obtained by eliminating $a$ and $b$ from $y=ae^{3x}+be^{-3x}$ is

asked May 23, 2013 by poojasapani_1

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The differential equation of all circles with centre at the origin is

asked May 23, 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

Volume of solid obtained by revolving the area of the ellipse $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$=$1$ about major and minor axes are in the ratio

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

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The value of $\int\limits_{0}^{1}x(1-x)^{4}dx$ 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

In which region the curve $y^{2}(a+x)=x^{2}(3a-x)$ does not lie?

asked May 21, 2013 by poojasapani_1

1 answer

The $'c'$ of Lagranges Mean Value Theorem for the function $f(x)=x^{2}+2x-1;a=0,b=1$ is

asked May 17, 2013 by poojasapani_1

1 answer

The angle between the curves $\large\frac{x^{2}}{25}+\frac{y^{2}}{9}=$$1$ and $\large\frac{x^{2}}{8}-\frac{y^{2}}{8}=$$1$ is

asked May 15, 2013 by poojasapani_1

1 answer

The velocity $v$ of a particle moving along a straight line when at a distance $x$ from the origin is given by $a+by^{2}=x^{2}$ where $a$ and $b$ are constants. Then the acceleration is

asked May 15, 2013 by poojasapani_1

1 answer

The locus of foot of perpendicular from the focus to a tangent of the curve $ 16x^{2}+25y^{2}=400$ 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

If $\omega$ is a cube root of unity then the value of $(1-\omega)(1-\omega^{2})(1-\omega^{4})(1-\omega^{8})$ 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 value of $[\overrightarrow{i}+\overrightarrow{j},\overrightarrow{j}+\overrightarrow{k},\overrightarrow{k}+\overrightarrow{i}] $ is equal to

asked May 10, 2013 by poojasapani_1

1 answer

If $\overrightarrow{a} \times(\overrightarrow{b}\times\overrightarrow{c})=(\overrightarrow{a}\times\overrightarrow{b})\times \overrightarrow{c}$ for non-coplanar vectors $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ then

asked May 10, 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=$\begin{bmatrix} 1\\ 2 \\ 3 \end{bmatrix}$ than the rank of $AA^{T}$is

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(x)=2x^{3}+5x^{2}-4x$

asked May 6, 2013 by poojasapani_1

1 answer

If the curve $ y^{2}=x$ and $xy=k$ are orthogonal than prove that $8k^{2}=1.$

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

Find the area of the region bounded by the curve $y=3x^{2}-x$ and the $x$-axis between $x=-1$ and $x=1$

asked Apr 27, 2013 by poojasapani_1

1 answer

The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh more than $185$ pounds

asked Apr 22, 2013 by poojasapani_1

1 answer

The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh between $120$ and $155$ pounds

asked Apr 22, 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}-6D+9)$$y=x+e^{2x}$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following. $\large\frac{dy}{dx}$$+xy\;=\;x$

asked Apr 16, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if its asymptotes are parallel to $x+2y-12=0$ and $x-2y+8=0, (2 , 4 ) $ is the centre of the hyperbola and it passes through $(2 , 0 )$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the angle between the following lines. $\large\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-4}{6}$ and $ x+1=\large\frac{y+2}{2}=\frac{z-4}{2}$

asked Apr 6, 2013 by poojasapani_1

1 answer

Verify $(\overrightarrow{a}\times\overrightarrow{b}) \times (\overrightarrow{c}\times\overrightarrow{d})=[\overrightarrow{a} \overrightarrow{b} \overrightarrow{d} ] \overrightarrow{c} - [\overrightarrow{a} \overrightarrow{b} \overrightarrow{c} ] \overrightarrow{d}$, For $\overrightarrow{a}=\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k},\overrightarrow{ b}=\overrightarrow{2i}+\overrightarrow{k}, \overrightarrow{c}=\overrightarrow{2i}+\overrightarrow{j}+\overrightarrow{k}, \overrightarrow{d}=\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{2k}.$

asked Apr 6, 2013 by poojasapani_1

1 answer

For any vector $\overrightarrow{a}$ Prove that $\overrightarrow{i} \times (\overrightarrow{a}\times\overrightarrow{i})+ \overrightarrow{j} \times (\overrightarrow{a}\times\overrightarrow{j})+ \overrightarrow{k } \times(\overrightarrow{a}\times\overrightarrow{k})=\overrightarrow{2a}$

asked Apr 6, 2013 by poojasapani_1

1 answer

Solve the equation $x^{4}-8x^{3}+24x^{2}-32x+20$ = 0 if $3+\mathit{i}$ is a root.

asked Apr 3, 2013 by geethradh

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

Show that the set G of all rational numbers except − 1 forms an abelian group with respect to the operation $$ given by $a b = a + b + ab$ for all $a, b \in G$.

asked Nov 27, 2012 by balaji.thirumalai

1 answer

Show that $p \rightarrow q$ and $q \rightarrow p$ are not equivalent.

asked Nov 27, 2012 by balaji.thirumalai

1 answer

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