List of top Questions asked in COMEDK UGET- 2007

A particular solution of $ \frac{dy}{dx} = (x+9y)^2$ when $ x = 0, y = \frac{1}{27}$ is

A train moving with a speed of 36 kmph takes 14 s to cross a bridge of length 100 m. The length of the train is

If $\sqrt{1-x^{2} } + \sqrt{1- y^{2}} =x -y $, then $\frac{dy}{dx} = $

Escape velocity from Earth is about 11 km/s. The escape velocity from a planet, 4 times the size of the Earth with same mean density is

5 g of $CaCO_3$ completely reacts with

A set $A$ has $5$ elements. Then the maximum number of relations on $A$ (including empty relation) is

The amplitude of $\sin \frac{\pi}{5} + i\left( 1 - \cos \frac{\pi}{5}\right) $

The angle between the asymptotes of the hyperbola $x^2 - 3y^2 = 12$ is

The solution having lowest freezing point is

If $a= 5, b = 13 , c = 12$ in $\Delta ABC$, then $\tan \frac{B}{4}$ is

The normal atmospheric pressure can support water column of height L which is, (given density of mercury = $13600\, kg\, m^{-3}$)

If the diameter of a capillary tube is doubled, the rate of flow ofliquid increases

A charge $Q$ is to be divided into two parts, $q$ and $(Q- q)$, such that force between them is maximum. Then

In an interference experiment, when a glass plate of refractive index 1.5 is introduced in the path of one of the beams; fringes are displaced by $x$. When the glass plate is replaced by another transparent plate of same thickness, shift in the fringe is $ \frac{3}{2} x .$ Refractive index of $2^{nd}$ transparent plate is

Which one of the following is least electropositive element?

Which one of the following is not ferromagnetic?

The ratio of forces between two point charges in the two cases when their separation is halved and when it is doubled, is

To increase the angular width of interference fringes

A bulb is kept at a depth h inside water of refractive index $' n' $. Area of the bright patch on the water surface is

The derivative of $\cos^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right) $ with respect to $\cot^{-1} \left(\frac{1-3x^{2}}{3x-x^{3}}\right)$ is

The function $f(x) = \begin{cases} x^2 & \quad \text{for } x < 1\\ 2 - x & \quad \text{for } x \geq 1 \end{cases}$ is