List of top Questions asked in COMEDK UGET

If $ \frac{\cos x}{\cos(x - 2y)} = \lambda \quad \text{then} \quad \tan(x - y) \tan y = $

If $ y = f(x), \, p = \frac{dy}{dx}, \, q = \frac{d^2 y}{dx^2}, \text{ then } \frac{d^2 x}{dy^2} \text{ is equal to } $

The value of the integral $ \int_{1/3}^1 \frac{(x - x^3)^{\frac{1}{3}}}{x^4} \, dx $ is:

The area of the region enclosed by the curve $ \left\{ (x, y) : 4x^2 + 25y^2 = 100 \right\} $ is:

The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6, then the other two observations are:

Consider an infinite geometric series with first term $ a $ and common ratio $ r $. If the sum of infinite geometric series is 4 and the second term is $ \frac{3}{4} $, then:

The area of the triangle whose vertices are $ (-2, a) $, $ (2, -6) $, and $ (5, 4) $ is 35 square units. Then the value of $ a $ is:

While shuffling a pack of cards, 3 cards were accidentally dropped, then find the probability that the missing cards belong to different suits?

If $3A + 4B^{t} = \left( \begin{array}{cc} 7 & -10 \\ 0 & 6 \end{array} \right) $ and $ 2B - 3A^{t} = \left( \begin{array}{cc} -1 & 18 \\ 4 & -6 \\ -5 & -7 \end{array} \right) $, then find $ (5B)^{t}$:
 

Abnormal colligative properties are observed only when the dissolved non-volatile solute in a given dilute solution

In a 0.2 M aqueous solution, lactic acid is 6.9% dissociated. The value of dissociation constant is