Recent questions tagged mar-2010

$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid z-5i\mid=\mid z+5i\mid$

asked Jun 10, 2013 by sreemathi.v

1 answer

The random variable $X$ follows normal distribution $f(x)=ce\large\frac{-1/2(x-100)^{2}}{25}$ Then the value of $c$ is

asked Jun 3, 2013 by poojasapani_1

1 answer

In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is

asked May 28, 2013 by poojasapani_1

1 answer

$\mu_{2}=20, \mu'_{2}=276$ for a discrete random variable $X$. Then the mean of the random variable $X$ is

asked May 28, 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

If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]

asked May 24, 2013 by poojasapani_1

1 answer

The differential equation $\large\left(\frac{dx}{dy}\right)^{2}$$+5y^{1/3}=x$ is

asked May 22, 2013 by poojasapani_1

1 answer

Solution of $\large\frac{dx}{dy}$$+mx=0,$where $m<0$ is

asked May 22, 2013 by poojasapani_1

1 answer

The curved surface area of a sphere of radius $5,$ intercepted between two parallel planes of distance $2$ and $4$ from the centre is

asked May 22, 2013 by poojasapani_1

1 answer

The area of the region bounded by the graph of $y=\sin x$ and $y=\cos x $ between $x=0$ and $x=\large\frac{\pi}{4}$ 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

What is the surface area of a sphere when the volume is increasing at the same rate as its radius?

asked May 15, 2013 by poojasapani_1

1 answer

A spherical snowball is melting in such a way that its volume is decreasing at a rate of $1 cm^{3}/min.$ The rate at which the diameter is decreasing when the diameter is $10 cms$ is

asked May 15, 2013 by poojasapani_1

1 answer

The length of the latus rectum of the rectangular hyperbola $xy=32$ is

asked May 14, 2013 by poojasapani_1

1 answer

The eccentricity of the hyperbola $ 12y^{2}-4x^{2}-24x+48y-127=0$ is

asked May 14, 2013 by poojasapani_1

1 answer

The line $4x+2y=c$ is a tangent to the parabola $y^{2}=16x$ then $c$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $-i+2 $ is one root of the equation $ax^{2}-bx+c=0$, then the other root is

asked May 13, 2013 by poojasapani_1

1 answer

If $p$ represents the veriable complex number $z$ and if $|2z-1|=2|z|$ then the locus of $p$ is

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

The following two lines are $ \large\frac{x-1}{2}=\frac{y-1}{-1}=\frac{z}{1}$ and $\large\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z-1}{2}$ is

asked May 11, 2013 by poojasapani_1

1 answer

If$[\overrightarrow{a} + \overrightarrow{b},\overrightarrow{b}+\overrightarrow{c},\overrightarrow{c} + \overrightarrow{a}]=8$ then $[\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}]$ is

asked May 10, 2013 by poojasapani_1

1 answer

The equation of the plane passing through the point $(2 , 1 , -1 )$ and the line of intersection of the planes $\overrightarrow{r}. (\overrightarrow{i}+\overrightarrow{3j}-\overrightarrow{k})=0$ and $\overrightarrow{r}. (\overrightarrow{j}+\overrightarrow{2k})=0$ 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

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

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

The rank of the diagonal matrix $\begin{bmatrix} -1 & & \\ & -2 & \\ & & 0\\& & &-4\\ & & & &0 \end{bmatrix}$

asked May 6, 2013 by poojasapani_1

1 answer

Let $P$ be a point on the curve $y=x^{3}$ and suppose that the tangent line at $P$ intersects the curve again at $Q$. Prove that the slope at $Q$ is four times the slope at $P$.

asked May 3, 2013 by poojasapani_1

1 answer

Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if$\;w=x^{2}+y^{2}$ where $x=u^{2}-v^{2},y=2uv$

asked Apr 26, 2013 by poojasapani_1

1 answer

Varify $\large\frac{\partial^{2} y}{\partial x\partial y}=\frac{\partial^{2} y}{\partial y\partial x}$ for the following function;$\;u=\tan^{-1}\large(\frac{x}{y})$

asked Apr 25, 2013 by poojasapani_1

1 answer

Find$C$. $\mu$ and $c^{2}$ of the normal distribution whose probability function is given by $f{x}$=$C$$e^{\large -x^2+3x}$$,-\infty<$X$<\infty$.

asked Apr 23, 2013 by poojasapani_1

1 answer

Radium disappears at a rate propotional to the amount present .If $5\%$ of the original amount disappears in $50$ years , how much will remain at the end of $100$ years [Take $A_{0}$ as a intial amount.]

asked Apr 17, 2013 by poojasapani_1

1 answer

Solve the following differential equation;$(D^{2}+14D+49)$y$=e^{-7x}+4$

asked Apr 16, 2013 by poojasapani_1

1 answer

Show that the equation of the curve whose slope at any point is equal to $y+2x$ and which passes through the origin is $y\;=\;2(e^{x}-x-1)$

asked Apr 16, 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. $x^{2}-6x-12y-3=0$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Derive the equation of the plane in the intercept form.

asked Apr 8, 2013 by poojasapani_1

1 answer

The volume of a parallelopiped whose edges are represented by $-\overrightarrow{12i}+\lambda\overrightarrow{k}, \overrightarrow{3j}-\overrightarrow{k}, \overrightarrow{2i}+\overrightarrow{j}-\overrightarrow{15k} $ is $546;\quad$ find the value of $\lambda$.

asked Apr 5, 2013 by poojasapani_1

1 answer

If $\overrightarrow{a} =\overrightarrow{i} + \overrightarrow{j}+\overrightarrow{2k}\; and\; \overrightarrow{b}=\overrightarrow{3i} +\overrightarrow{2j}-\overrightarrow{k}$ find $(\overrightarrow{a}+\overrightarrow{3b}) . (\overrightarrow{2a}-\overrightarrow{b})$

asked Apr 2, 2013 by poojasapani_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y+z=7\;,x+2y+3z=18\;,y+2z=6 $

asked Mar 30, 2013 by poojasapani_1

1 answer

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

asked Nov 27, 2012 by balaji.thirumalai

1 answer

Ask Questions, Get Answers