Recent questions tagged oct-2006

Find the square root of $(-8-6i)$

asked Jun 7, 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

In $5$ throws of a die, getting $1$ or $2$ is a success. The mean number of successes is

asked May 28, 2013 by poojasapani_1

1 answer

Given $E(X+c)=8$ and $E(X-c)=12$ then the value of $c$ is

asked May 28, 2013 by poojasapani_1

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

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

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

asked May 23, 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 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 volume generated by rotating the triangle with vertices at $(0,0),(3,0)$ and $(3,3) $ about $x$-axis is

asked May 22, 2013 by poojasapani_1

1 answer

The value of $\int\limits_{0}^{\pi}\sin^{4}x dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

The curve $9y^{2}=x^{2}(4-x^{2})$ is symmetrical about

asked May 21, 2013 by poojasapani_1

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The percentage error in the $11^{th}$ root of the number is approximately ______ times the percentage error in $28$.

asked May 21, 2013 by poojasapani_1

1 answer

Which of the following function is increasing in $(0 , \infty)$

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 normal to the curve $y=3x^{2}$ at the point whose $x$ coordinate is $2$ is

asked May 15, 2013 by poojasapani_1

1 answer

The eccentricity of the hyperbola with asymptotes $x+2y-5=0 ,2x-y+5=0 $ is

asked May 14, 2013 by poojasapani_1

1 answer

The line $5x-2y+4k=0 $ is a tangent to $4x^{2}-y^{2}=36$ then $k$ is

asked May 14, 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

$z_{1}=4+5i,z_{2}=-3+2i$ then $\large\frac{z_{1}}{z_{2}}$is

asked May 12, 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 $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 point of intersection of the lines $\overrightarrow{r}=(-\overrightarrow{i}+\overrightarrow{2j}+\overrightarrow{3k})+\overrightarrow{t}=(-\overrightarrow{2i}+\overrightarrow{j}+\overrightarrow{k}) $ and $\overrightarrow{r}=(\overrightarrow{2i}+\overrightarrow{3j}+\overrightarrow{5k})+\overrightarrow{s}=(\overrightarrow{i}+\overrightarrow{2j}+\overrightarrow{3k}) $ is

asked May 11, 2013 by poojasapani_1

1 answer

If $\overrightarrow{a}=\overrightarrow{i}-\overrightarrow{2j}+\overrightarrow{3k}$ and $\overrightarrow{b}=\overrightarrow{3i}+\overrightarrow{j}+\overrightarrow{2k}$ then a unit vector perpendicular to $\overrightarrow{a}$ and $\overrightarrow{b}$ is

asked May 11, 2013 by poojasapani_1

1 answer

If $\overrightarrow{PR}=2\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}, \;\overrightarrow{QS}=-\overrightarrow{i}+\overrightarrow{3j}+\overrightarrow {2k},$ then the area of the quadrilateral $PQRS$ is

asked May 9, 2013 by poojasapani_1

0 answers

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two unit vectors and $\theta $is the angle between them, then $(\overrightarrow{a}+\overrightarrow{b})$ is a unit vector if

asked May 8, 2013 by poojasapani_1

1 answer

If $A$ is a matrix of order $3$, then det($kA$)

asked May 7, 2013 by poojasapani_1

1 answer

If the matrix $\begin{bmatrix} -1 & 3 & 2 \\1 & k & -3 \\1 & 4 & 5 \end{bmatrix}$ has an inverse than the value of $k$

asked May 7, 2013 by poojasapani_1

1 answer

If A=$\begin{bmatrix} 2& 0& 1 \end{bmatrix}$ than the rank of $AA^{T}$is

asked May 6, 2013 by poojasapani_1

1 answer

Evaluate the limit for the following if exists. $\;\lim \limits_{x \to 1 } x^{\large\frac{1}{x-1}}$

asked May 6, 2013 by poojasapani_1

1 answer

Show that the equation of the normal to the curve $x=a\cos^{3}\theta ; y=a\sin^{3}\theta$ at $\;'\theta'$ is$\; x\cos\theta-y\cos\theta=a\cos 2\theta.$

asked May 3, 2013 by poojasapani_1

1 answer

Prove that the curved surface area of a sphere of radius $r$ intercepted between two parallel planes at a distance $a$ and $b$ from the centre of the sphere is $\;2\pi r(b-a)$ and hence deduct the surface area of the sphere,$(b>a)$

asked Apr 30, 2013 by poojasapani_1

1 answer

Using chain rule find $\large\frac{dw}{dt}$ for each of the following:$\;w=\large(\frac{x}{x^{2}+y^{2}})$ where $x=\cos t,y=\sin t.$

asked Apr 25, 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

Find the mean and variance for the following probability density functions $f(x) = \left\{ \begin{array}{l l} \frac {1}{24} ,& \quad \text{-12$\leq$$ x$$\leq $$12$}\\ 0, & \quad \text{otherwise} \end{array} \right.$

asked Apr 20, 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

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

Solve the following. $\large\frac{dy}{dx}+\frac{4x}{x^{2}+1}$$y=\large \frac{1}{(x^{2}+1)^{2}}$

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 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

A force magnitude $5$ units acting parallel to $\overrightarrow{2i}-\overrightarrow{2j}+ \overrightarrow{k}$ displaces the point of application from $(1,2,3)$to $(5,3,7) $ find the work done.

asked Apr 4, 2013 by poojasapani_1

1 answer

Show that the vectors $\overrightarrow{3i}-\overrightarrow{2j}+\overrightarrow{k},\overrightarrow{i}-\overrightarrow{3j}+\overrightarrow{5k}$ and $\overrightarrow{2i}+\overrightarrow{j}-\overrightarrow{4k}$ form a right angled tringle.

asked Apr 3, 2013 by poojasapani_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $4x+5y=9\;,8x+10y=18 $

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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