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Coefficient of $x^4$ in the expression of $\large\frac{1-3x+x^2}{e^x}$ is

asked Mar 12, 2015 by meena.p

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Coefficient of $x^4$ in the expression of $\large\frac{1-3x+x^2}{e^x}$ is

asked Mar 12, 2015 by meena.p

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If the pair of straight line $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other , then the correct relationship is

asked Mar 12, 2015 by meena.p

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The equation of the normal to the curve $y=x^3-x^2$ at the point $(1,1)$ lying on it is

asked Mar 12, 2015 by meena.p

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The equation of the normal to the curve $y=x^3-x^2$ at the point $(1,1)$ lying on it is

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If the roots of equation $x^3-12x^2+39x-28=0$ are in A.P, then common difference will be

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If $y= x -\large\frac{x^2}{2}+\frac{x^3}{3}-\frac{x^4}{4} +......$ , then x is

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from the top of a h meter high cliff , the angles of depression of the top and the bottom of a tower are observed to be $30^{\circ}$ and $60^{\circ}$ respectively . the height of the tower is

asked Mar 12, 2015 by meena.p

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The least value of $3 \sin x - 4 \cos x++17$ is

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The least value of $3 \sin x - 4 \cos x++17$ is

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The largest value of $2x^2 - 3x^2-12 x +5$ for $-2 \geq x \geq 4$ occurs at x equal to

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If $y= \tan ^{-1} (\sec x +\tan x)$ then $\large\frac{dy}{dx}$ is

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The value of $\sec A (\cos B cosec C - \sin B \sin C)$ Where $A+B+C= \pi$

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If X and Y are two sets, then $X \cap (Y \cup X)$ equal

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If $f: R \to R$ be defined by $f(x) = \left\{ \begin{array} {1 1} 1 & \quad\text{ if x is rational } \\ 0 ,& \quad \text{if x is irrational }\\ \end{array} \right.$ then f is continous at

asked Mar 12, 2015 by meena.p

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The number $49^n +16n -1$ is divisible by

asked Mar 11, 2015 by meena.p

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The sum of the first n natural number is one fifth of the sum of their squares, then n is

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The next form of the geometric progression $x,x^2+2,x^3-1-$ is

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In a triangle $ABC$ if $a=4,b=8$ and $\angle B=60^{\circ}$ then $\angle B=?$

asked Mar 11, 2015 by meena.p

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The tangent to the hyperbola $x^2-y^2=3$ are parallel to the straight line $2x+y+8=0$ at the following points

asked Mar 11, 2015 by meena.p

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The magnitude of the resultant of four forces $\overrightarrow{P}=\overrightarrow{i} - \overrightarrow{j} - \overrightarrow{k}; \overrightarrow{Q}=\overrightarrow{i}-2\overrightarrow{j}+2\overrightarrow{k}; \overrightarrow{R}= \overrightarrow{i}- \overrightarrow{j}+3\overrightarrow{k}; \overrightarrow{S}= \overrightarrow{i}+b\overrightarrow{j}$ acting on a particle is $6$ if $6$ is equal to

asked Mar 11, 2015 by meena.p

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The domain the function $\sqrt {\log (x^2-6x+6)}$ is

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If $\sin ^{-1} x +\cos ^{-1} \bigg(\large\frac{1}{2}=\frac{\pi}{2}$ then x is

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The number of ways in ehich 5 male and 2 female members of a commitee can be seated around a round table so that the two females are not seated together is

asked Mar 11, 2015 by meena.p

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If the resultant of two forces of magnitudes of P and Q acting at a pointat an angle of $60^{\circ}$ is $\sqrt 7 Q$ , Them $\large\frac{P}{Q}$

asked Mar 11, 2015 by meena.p

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The function $f:R \to R$ defined by $f(x)= (x-1)(x-2)(x-3)$ is

asked Mar 11, 2015 by meena.p

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$\lim \limits_{n \to \infty} \sum \limits_{k=1}^m \large\frac{k}{n^2+k^2}$ is equal to

asked Mar 11, 2015 by meena.p

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If P is nearly equal to q and $n >14$ such that $\large\frac{(n+1)p+(n-1)q}{(n-1)p +(n-1)q} =\frac{p}{q}^k$ then the value of k is

asked Mar 11, 2015 by meena.p

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The equation of the plane containing the line $\large\frac{x+1}{-3} =\frac{y-3}{2} =\frac{z+2}{1}$ and the point $(0,7,-7)$ is

asked Mar 11, 2015 by meena.p

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If $[x]$ denotes the greatest integer less than or equal to x, then the value of $\int \limits _1^5 [|x-3|]dx$ is

asked Mar 11, 2015 by meena.p

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The differential equation $\bigg( \large\frac{d^2y}{dx^2}\bigg)^2 - \bigg( \frac{dy}{dx}\bigg)$ $=y^3$ has degree

asked Mar 11, 2015 by meena.p

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The minimum value of $\large\frac{\log x}{x}$ in the interval $[2, \infty]$

asked Mar 11, 2015 by meena.p

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If $\log _7 2 =m$ then $\log _{49}28$ is equal to

asked Mar 11, 2015 by meena.p

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The probability that a leap year selected at random contains either 53 sundays or 53 mondays

asked Mar 10, 2015 by meena.p

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The equation $2x^2+2y^2+4x+8y+15=0$ represents

asked Mar 10, 2015 by meena.p

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If the straight line $y=mx$ is outside the circle $x^2+y^2-20y +90=0$ then

asked Mar 10, 2015 by meena.p

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The lengths of the sides of a triangle $\alpha -\beta , \alpha+\beta$ and $\sqrt {3 \alpha^2+\beta^2},(\alpha > \beta > 0)$ . Its largest angle is

asked Mar 10, 2015 by meena.p

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Sum of the infinite series $1+ \large\frac{3}{2 !}+\frac{6}{3 !}+\frac{10}{4 !}+....$

asked Mar 10, 2015 by meena.p

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If $a,b,c$ are in arithmetic progression , then $\large\frac{1}{\sqrt a +\sqrt b}, \frac{1}{\sqrt a +\sqrt c},\frac{1}{\sqrt b +\sqrt c}$ are in

asked Mar 10, 2015 by meena.p

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A point starts moving from $(1,2)$ and its projections on x and y axis are moving with velocities of $3 m/s$ and $2 m/s$ respectively. Its locus is

asked Mar 10, 2015 by meena.p

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The area of the region bounded by the curves $y=x^2$ and $y =|x|$ is

asked Mar 10, 2015 by meena.p

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ABC is an isosceles triangle right angled at A. Forces of magnitude $2 \sqrt 2,5$ and $6$ act along $\overrightarrow {BC},\overrightarrow{CA}$ and $\overrightarrow {AB}$ respectively. The magnitude of their resultant force is

asked Mar 10, 2015 by meena.p

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If vector $\overrightarrow{A} =2 \overrightarrow{i}+3 \overrightarrow{j}+4 \overrightarrow{k};\overrightarrow{B}=\overrightarrow{i}+\overrightarrow{j}+5 \overrightarrow{k}$ and $\overrightarrow{c}$ form a left handed system , then $\overrightarrow{C}$ is

asked Mar 10, 2015 by meena.p

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If $\overrightarrow {a},\overrightarrow {b},\overrightarrow {c}$ are non - coplanar vectors and $\overrightarrow {d} = \lambda \overrightarrow {a}+\mu \overrightarrow {b}+ v \overrightarrow {c}$ then $\lambda$ is

asked Mar 10, 2015 by meena.p

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Locus of the point z satisfying the equation $|iz-1|+|z-i|=2$ is

asked Mar 10, 2015 by meena.p

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Let $0 < P(A) <1$ $,0< P(B) <1$ and $P(A \cup B) =P(A) +P(B) - P(A).P(B)$ Then

asked Mar 9, 2015 by meena.p

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The function $f(x) = max \{(1-x),(1+x),2\} x \in (- \infty , \infty)$ , is

asked Mar 9, 2015 by meena.p

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If $a,b,c$ are non- Coplanar unit vector such that $a \times (b \times c) = \large\frac{b+c}{\sqrt 2}$ , then the angle between a and b is

asked Mar 9, 2015 by meena.p

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Let z and w be two complex numbers such that $|z| \leq 1, |w| \leq 1$ and $|z+iw|$ = |z-i w}=2$ Then z equals

asked Mar 9, 2015 by meena.p

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The function $f(x) = \large\frac{\ln(\pi+x)}{\ln (e+x)}$ is

asked Mar 9, 2015 by meena.p

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