Recent questions in Mathematics

If $\large\frac{3x+2}{(x+1)(2x^2+3)}=\frac{A}{x+1}+\frac{Bx+C}{2x^2+3},$ then $A+C-B$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The correct matching of List I from List II is :

asked Nov 5, 2013 by meena.p

1 answer

$1+\large\frac{2}{4}+\frac{2.5}{4.8}+ \frac{2.5.8}{4.8.12}+\frac{2.5.8.11}{4.8.12.16}+.........$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The number of natural numbers less than 1000, in which no two digits are repeated , is :

asked Nov 5, 2013 by meena.p

1 answer

Eight different letters of an alphabets are given. Words of four letters from these are formed. The number of such words with at least one letter repeated is :

asked Nov 5, 2013 by meena.p

1 answer

For all integers $ n \leq 1$, which of the following is divisible by 9?

asked Nov 5, 2013 by meena.p

1 answer

$\sqrt {12-\sqrt {68+48 {\sqrt {2}}}}$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

If $x= \sqrt {\large\frac{2+\sqrt 3}{2 -\sqrt 3}}$, then $x^2(x-4)^2$ is equal to

asked Nov 5, 2013 by meena.p

1 answer

If $f: R \to R$ is defined by $f(x)= \left\{ \begin{array}{1 1} x+4 & \quad for & \quad x < -4 \\ 3x+2 & \quad for & \quad -4 \leq x < 4 \\ x-4 & \quad for & \quad x \geq 4 \end{array}. \right. $ then the correct matching of List I from List II is :

asked Nov 5, 2013 by meena.p

1 answer

If $f: R \to R $ is defined by $f(x)=[2x]-2[x]$ for $x \in R,$ where $[x]$ is the greatest integer not exceeding x, then the range of f is :

asked Nov 5, 2013 by meena.p

1 answer

If $f: R \to R$ is defined by $f(x) =x-[x]-\large\frac{1}{2}$ for $x \in R, $ where $[x]$ is the greatest integer not exceeding x, then $\bigg \{x \in R: f(x) =\frac{1}{2}\bigg\}$ is equal to :

asked Nov 5, 2013 by meena.p

1 answer

The solution of $\large\frac{dy}{dx}$$+1=e^{x+y}$ is

asked Oct 28, 2013 by meena.p

1 answer

The solution of $\large\frac{dy}{dx}=\frac{y^2}{xy-x^2}$ is

asked Oct 28, 2013 by meena.p

1 answer

The solution of $(x+y+1)\large\frac{dy}{dx}$$=1$

asked Oct 28, 2013 by meena.p

1 answer

The differential equation obtained by eliminating the arbitrary constant a and b from $xy=ae^x+be^{-x}$ is

asked Oct 28, 2013 by meena.p

1 answer

The area (in square unit ) of the region enclosed by the curves $ y=x^2$ and $y=x^3$ is

asked Oct 28, 2013 by meena.p

1 answer

$\int \limits_0^{2x} \sin ^6 x \cos ^5 x dx $ is equal to

asked Oct 28, 2013 by meena.p

1 answer

If $f(t) =\int \limits _{-t}^t \large\frac{e^{-|x|}}{2}$$dx$, then $\lim \limits_{t \to \infty} f(t) $ is equal to

asked Oct 28, 2013 by meena.p

1 answer

$\int \large \frac{\sin x+ 8 \cos x}{4 \sin x+6 \cos x}$$ dx$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

$\int \tan^{-1} \bigg(\sqrt {\large\frac{1-x}{1+x}}\bigg)$$dx$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

If $ \int \large\frac{e^x-1}{e^x+1}$$dx=f(x)+c$, then f(x) is equal to

asked Oct 28, 2013 by meena.p

0 answers

If $z= \log (\tan x +\tan y)$, then $(\sin 2x) \large\frac{\partial z}{\partial x}$$+(\sin 2y) \large\frac{\partial z}{\partial y}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

Observe the statement given below: Assertion (A): $f(x)=x e^{-x}$ has the maximum at $x=1$ Reason (R): $ f(1)=0$ and $f(1) <0$ which of following is correct ?

asked Oct 28, 2013 by meena.p

1 answer

The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area is

asked Oct 28, 2013 by meena.p

1 answer

The condition $f(x)=x^3+px^2+qx+r(x \in R)$ to have no extreme value, is

asked Oct 28, 2013 by meena.p

1 answer

The lengths of tangent, subtangent, normal and subnormal for the curve $y=x^2+x-1$ at $(1,1)$ are A,B,C and D respectively then their increasing order is

asked Oct 28, 2013 by meena.p

1 answer

$x=\cos \theta,y= \sin 5 \theta =>(1-x^2)\large\frac{d^2y}{dx^2}$$ - x \large\frac{dy}{dx}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

$y= \log \bigg \{ \bigg (\large\frac{1+x}{1-x}\bigg )^{1/4}\bigg\}-\frac{1}{2}$$ \tan ^{-1}(x),$ then $\large\frac{dy}{dx}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

If $2x^2-3xy+y^2+x+2y-8=0$, then $\large\frac{dy}{dx}$ is equal to

asked Oct 26, 2013 by meena.p

1 answer

If $f(x)= \left\{ \begin{array}{1 1} \frac{\sin(1+[x])}{[x]}, & \quad for\;[x] \neq 0 \\ 0, & \quad for\;[x] =0 \end{array} \right. $ where $[x]$ denotes the greatest integer not exceeding x, then $\lim \limits _{x \to 0} f(x)$ is equal to

asked Oct 26, 2013 by meena.p

1 answer

If $f(x)= \left\{ \begin{array}{1 1} x-5, & \quad for\; x \leq 1 \\ 4x^2-9, & \quad for\;1 < x < 2 \\ 3x+4, &\quad for\; x \geq 2 \end{array} \right.$ then $f'(2^{+})$ is equal to

asked Oct 26, 2013 by meena.p

1 answer

$\lim \limits_{x \to 2} \large\frac{e^x-e^{\sin x}}{2(x- \sin x)}$

asked Oct 26, 2013 by meena.p

1 answer

The area (in square unit) of the triangle formed by the points with polar coordinates $(1,0), \bigg(2,\large\frac{ \pi}{3}\bigg)$ and $\bigg(3,\large\frac{2 \pi}{3}\bigg)$ is

asked Oct 26, 2013 by meena.p

1 answer

If the line $lx+my=1$ is normal to the hyperbola

asked Oct 26, 2013 by meena.p

1 answer

The value of k , if (1,2),(k,1) are conjugate points with respect to the ellipse $2x^2+3y^2=6$ is

asked Oct 25, 2013 by meena.p

1 answer

For the parabola $y^2+6y-2x+5=0$(I) The vertex is (-2,-3) (II) The directrix is y+3=0

asked Oct 25, 2013 by meena.p

1 answer

The condition for the coaxial system $x^2+y^2+2 \lambda x +c=0,$ where $\lambda$ is a parameter and c is a constant to have distinct limiting points, is

asked Oct 25, 2013 by meena.p

1 answer

The inverse point of (1,2) with respect to the circle $x^2+y^2-4x-6y+9=0$ is

asked Oct 25, 2013 by meena.p

1 answer

The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x=0 and y=0 is

asked Oct 25, 2013 by meena.p

1 answer

The cosine of the angle A of the triangle with vertices $A(1,-1,2), B(6,11,2),C(1,2,6)$ is

asked Oct 25, 2013 by meena.p

1 answer

The ratio in which yz - plane divides the line segment joining $(-3,4,-2)$ and $(2,1,3)$ is

asked Oct 25, 2013 by meena.p

1 answer

If the lines $x^2+2xy-35y^2-4x+44y-12=0$ and $5x+\lambda y-8=0$ are concurrent, then the value of $\lambda$ is

asked Oct 25, 2013 by meena.p

1 answer

The angle between the pair of straight lines formed by joining the points of intersection of $x^2+y^2=4$ and $y=3x+c$ to the origin is a right angle. Then $c^2$ is equal to

asked Oct 25, 2013 by meena.p

1 answer

In the triangle with vertices at $A(6,3),B(-6,3)$ and $C(-6,-3)$ the median through A meets BC at P, the line AC meets the x-axis at Q,while R and S respectively denote the orthocenter and centroid of the triangle. Then the correct matching of the coordinates of points in List -I to List - II is

asked Oct 25, 2013 by meena.p

1 answer

If $A(2,-1)$ and $B(6,5)$ are two points the ratio in which the foot of the perpendicular from (4,1) to AB divides it, is

asked Oct 25, 2013 by meena.p

1 answer

The angle between the line joining the points $(1,-2),(3,2)$ and the line $x+2y-7=0$ is

asked Oct 25, 2013 by meena.p

1 answer

In order to eliminate the first degree terms from the equation $2x^2+4xy+5y^2-4x-22y+7=0,$ the point to which origin is to be shifted, is

asked Oct 25, 2013 by meena.p

1 answer

The probability distribution of a random variable X is given by

asked Oct 25, 2013 by meena.p

1 answer

The mean and standard deviation of a binomial variate x are 4 and $\sqrt 3$ respectively. Then $P( X \geq 1)$ is equal to

asked Oct 25, 2013 by meena.p

1 answer

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour, is

asked Oct 25, 2013 by meena.p

1 answer

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