Recent questions in Objective type Questions and Answers

The curve $y^{2}(x-2)=x^{2}(1+x)$ has

asked May 21, 2013 by poojasapani_1

1 answer

Identify the true statements in the following:

asked May 20, 2013 by poojasapani_1

1 answer

If $x=r\cos\theta,y=r\sin\theta,$ then $\large\frac{\partial r}{\partial x}$ is equal to

asked May 20, 2013 by poojasapani_1

1 answer

If $u=\large\frac{1}{\sqrt{x^{2}+y^{2}}},$ then $x\large\frac{\partial u}{\partial x}$ $+y\large\frac{\partial u}{\partial y}$ is equal to

asked May 20, 2013 by poojasapani_1

1 answer

If $u=\sin^{-1}\begin{pmatrix}\large\frac{x^{4}+y^{4}}{x^{2}+y^{2}}\end{pmatrix}$ and $f=\sin u$ then $f$ is a homogeneous function of degree

asked May 20, 2013 by poojasapani_1

1 answer

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

asked May 20, 2013 by poojasapani_1

1 answer

The curve $y=ax^{3}+bx^{2}+cx+d$ has a point of inflexion at $x=1$ then

asked May 20, 2013 by poojasapani_1

1 answer

The point of inflexion of the curve $y=x^{4}$ is at

asked May 20, 2013 by poojasapani_1

1 answer

Which of the following curves is concave down ?

asked May 20, 2013 by poojasapani_1

1 answer

The curve $y=e^{-x}$ is

asked May 20, 2013 by poojasapani_1

1 answer

If $f(x)=x^{2}-4x+5$ on $[0 ,3 ]$ then the absolute maximum value is

asked May 18, 2013 by poojasapani_1

1 answer

The least possible perimeter of a rectangle of area $100m^{2}$ is

asked May 18, 2013 by poojasapani_1

1 answer

In a semi circle of diameter $4$ cm a rectangle is to be inscribed . The maximum area of the rectangle is

asked May 18, 2013 by poojasapani_1

1 answer

The function $y=\tan x-x$ is

asked May 18, 2013 by poojasapani_1

1 answer

The function $f(x)=x^{2}$ is decreasing in

asked May 18, 2013 by poojasapani_1

1 answer

The function $f(x)=x^{2}-5x+4$ is increasing in

asked May 18, 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 $f(a)=2;f '(a)=1;(g)=(a)=-1;g '(a)=2$ 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

$\;\lim \limits_{x \to 0}\Large\frac{a^{x}-b^{x}}{c^{x}-d^{x}}$ is

asked May 18, 2013 by poojasapani_1

1 answer

$\;\lim \limits_{x \to \infty}\large\frac{x^{2}}{e^{x}}$ is

asked May 18, 2013 by poojasapani_1

1 answer

The value of $'c'$ of Lagranges Mean Value Theorem for $f(x)=\sqrt{x}$ when $a=1$ and $b=4$ is

asked May 17, 2013 by poojasapani_1

1 answer

The value of $c$ in Rolle's Theorem for the function $f(x)=\cos\large\frac{x}{2}$ on $[\pi,3]$ is

asked May 17, 2013 by poojasapani_1

1 answer

The $'c'$ of Lagranges Mean Value Theorem for the function $f(x)=x^{2}+2x-1;a=0,b=1$ is

asked May 17, 2013 by poojasapani_1

1 answer

The Rolle's constant for the function $y=x^{2}$ on $[-2,2]$ is

asked May 16, 2013 by poojasapani_1

1 answer

If the velocity of a particle moving along a straight line is directly proportional to the square of its distance from a fixed point on the line. Then its acceleration is proportional to

asked May 16, 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 value of $'a'$ so that the curves $y=3e^{x}$ and $y=\large\frac{a}{3}e^{x}$ intersect orthogonally is

asked May 16, 2013 by poojasapani_1

1 answer

If a normal makes an angle $\theta$ with positive $x$ -axis then the slope of the curve at the point where the normal is drawn is

asked May 16, 2013 by poojasapani_1

1 answer

For the curve $x=e^{t}\cos t: y=e^{t}\sin t$ the tangent line is parallel to the $x$ -axis when $t$ is equal to

asked May 16, 2013 by poojasapani_1

1 answer

The gradient of the tangent to the curve $y=8+4x-2x^{2}$ at the point where the curve cuts the $y$ -axis is

asked May 16, 2013 by poojasapani_1

1 answer

The Angle between the parabolas $y^{2}=x$ and $x^{2}=y$ at the origin is

asked May 16, 2013 by poojasapani_1

1 answer

If the volume of an expanding cube is increasing at the rate of $4cm^{3}/sec$ then the rate of change of surface area when the volume of the cube is $8$ cubic cm is

asked May 16, 2013 by poojasapani_1

1 answer