Recent questions tagged jun-2008

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

Solve : $x^4-x^3+x^2-x+1=0$

asked Jun 13, 2013 by sreemathi.v

1 answer

If a random variable $X$ follows poisson distribution such that $E(X^{2})=30$ then the variance of the distribution is

asked May 30, 2013 by poojasapani_1

1 answer

Var $(4X+3)$ is

asked May 28, 2013 by poojasapani_1

1 answer

If $ f(x) = \left\{ \begin{array}{l l} kx^{2}, & \quad \text{$0<x<3$}\\ 0, & \quad \text{elsewhere} \end{array} \right. $ is a probability density function then the value of $k$ is

asked May 28, 2013 by poojasapani_1

0 answers

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

asked May 24, 2013 by poojasapani_1

1 answer

Which of the following is not a binary operation on $R$

asked May 24, 2013 by poojasapani_1

1 answer

The number of rows in the truth table of $\sim[p\land(\sim q)]$ is

asked May 24, 2013 by poojasapani_1

1 answer

The integrating factor of the differential equation $\large\frac{dy}{dx}$$-y\tan x=\cos x $ is

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

The length of the are of the curve $x^{2/3}+y^{2/3}=4$ is

asked May 22, 2013 by poojasapani_1

1 answer

The volume generated when the region bounded by $ y=x,y=1,x=0$ is rotated about $y$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

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

asked May 22, 2013 by poojasapani_1

1 answer

If $u=y\sin x,$ then $\large\frac{\partial^{2} u}{\partial x\partial y}$ is equal to

asked May 21, 2013 by poojasapani_1

1 answer

If$f(a)=2;f '(a)=1;(g)=(a)=-1;g '(a)=2$ then the value of $\;\lim \limits_{x \to 2}\Large\frac{g(x)f(a)-g(a)f(x)}{x-a}$ is

asked May 18, 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 radius of the director circle of the conic $9x^{2}+16y^{2}=144 $ is

asked May 13, 2013 by poojasapani_1

1 answer

The angle between the two tangents drawn from the point $(-4 , 4)$ to $y^{2}=16x $ is

asked May 13, 2013 by poojasapani_1

1 answer

If $z_{n}=\cos\large\frac{n\pi}{3}$$+i\sin\large\frac{n\pi}{3} $ then $z_{1}z_{2} \dots\;z_{6}$is

asked May 12, 2013 by poojasapani_1

1 answer

If $a=3+i $ and $z=2-3i$ then the points on the Argand diagram representing $az , 3az $ and $-az $ are

asked May 12, 2013 by poojasapani_1

1 answer

The modulus and amplitude of the complex number $[e^{3-i \pi/4}]^{3}$ is respectively

asked May 11, 2013 by poojasapani_1

1 answer

$\overrightarrow{r}=s\overrightarrow{i}+t\overrightarrow{j}$ is the equation of

asked May 10, 2013 by poojasapani_1

1 answer

If $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c} $ are a right handed triad of mutually perpendicular vectors of magnitude $ a, b , c $ than value of $[\overrightarrow{a} \overrightarrow{b} \overrightarrow{c}]$ is

asked May 10, 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

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 $A$ 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

Obtain the Maclaurin's series expansion for:$\;\tan x,- \large\frac{\pi}{2} \lt \normalsize x \lt \large\frac{\pi}{2}$

asked May 4, 2013 by poojasapani_1

1 answer

Prove that the curve $2x^{2}+4y^{2}=1$ and $6x^{2}-12y^{2}=1$ cut each other at right angles.

asked May 3, 2013 by poojasapani_1

1 answer

Find the volume of the solid that results when the region enclosed by the given curve: $(11$$to14)$$\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ is revolved about major axis $a>b>0.$

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 probability distribution of a random variable $x$ is given below: \[\] $\begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3 \\ \textbf{P(X=x):}& 0.1& 0.3 &0.5& 0.1& \end{array}$\[\] If $Y=X^{2}+2X$ find the mean and variance of $Y$.

asked Apr 20, 2013 by poojasapani_1

1 answer

The sum of Rs $1000$ is compounded continuously, the nominal rate of interest being four percent per annum. In how many years will the amount be twice the original principal ? $(\log_{e}$$2=0.6931)$

asked Apr 17, 2013 by poojasapani_1

1 answer

Prove that $\left ( 1+ \mathit{i\sqrt{3}} \right )^{\mathit{n}} + \left ( 1- \mathit{i\sqrt{3}} \right )^{\mathit{n}} = 2^{n+1} \cos \; \large\frac{n\pi}{3}$

asked Apr 16, 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

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

A satellite is travelling around the earth in an elliptical orbit having the earth heat a focus and of eccentricity $\large\frac{1}{2}.$ The shortest distance that the satellite get to the earth is $400kms.$ Find the longest distance that the satellite gets from the earth.

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the vector and cartesian equations of the plane through the points $(1 , 2 , 3 )$and $(2 , 3 , 1 )$ perpendicular to the plane $ 3x-2y+4z-5=0$

asked Apr 8, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method: $\large \frac{1}{x}+\frac{2}{y}-\frac{1}{z}=1\;;\frac{2}{x}+\frac{4}{y}+\frac{1}{z}=5\;;\frac{3}{x}-\frac{2}{y}-\frac{2}{z}=0$

asked Mar 29, 2013 by poojasapani_1

1 answer

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

asked Mar 29, 2013 by poojasapani_1

1 answer

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