List of top Questions asked in COMEDK UGET- 2011

If $f\left(x\right) = \frac{x^{2} -1}{x^{2} +1} ,x\in R$ then the minimum value of $f$ is

Let $f (x)$ and $g(x)$ be differentiable functions on (0, 2] such that $f"(x) - g"(x) = 0, f'(1) = 2g'(1) = 4, f(2) = 3g(2) = 9.$ Then $f (x)- g(x)$ at $ x = 3/2$ is

If the area of a circle increases at a uniform rate, then its perimeter varies

The length of the subtangent to the curv $x^2y^2 = a^4$ at $(-a, a)$ is

The surface area of a ball is increasing at the rate of $2 \pi \, s cm/sec$. The rate at which the radius is increasing when the surface area is $16 \pi \, s cm$ is

If $y =\frac{\sec x +\tan x}{\sec x - \tan x} $ , then $\frac{dy}{dx} = $

If $A = \begin{bmatrix}3&2\\ 4&5\end{bmatrix} $ and $AC = \begin{bmatrix}19&24\\ 37&46\end{bmatrix}$ then $C= $

Let [ ?] denote the greatest integer function and $f (x) = [\tan^2 x]$. Then

The sum of all the positive divisors less than $250$ of the number $484$ is

Water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at an instant when the first drop touches the ground. The height, in m, of the second drop above the ground at that instant is (Take g = 10 m s$^{-2}$)

The dissociation constant of a weak base is $ {1 \times 10^{-5}}$ at 25?C. The pH of its 0.1 M solution at the same temperature.will be .

Oxidative rancidity of oils can be prevented by adding

Ratio of radiant energy emitted per unit area per second by two stars is 16 : 81. The ratio of wavelengths at which intensity of radiant energy is maximum is given by?

ln cuprarnmonium sulphate, copper is

Two planets of radii $R_1$ and $R_2$ have the same density. The ratio of the acceleration due to gravity on these planets is

The conjugate acid of $ {HCO_3^-}$ is