List of top Questions asked in COMEDK UGET

The equation of the pair of angle bisectors of the line \( x^2 - 4xy - 5y^2 = 0 \) is:
The solution of the differential equation \( x \frac{dy}{dx} = \cot y \) is
The first and fifth terms of an A.P. are -14 and 2 respectively and the sum of its $n$ terms is 40. The value of $n$ is
If \(K_1\) and \(K_2\) are maximum kinetic energies of photoelectrons emitted when lights of wavelengths \(\lambda_1\) and \(\lambda_2\), respectively incident on a metallic surface and \(\lambda_1 = 3\lambda_2\), then
Which of the following compounds does not exist?
A regular polygon of \( n \) sides has 170 diagonals. Then \( n \) is equal to:
Evaluate the integral \( 3 \int \frac{3^x}{\sqrt{1 - 9^x}} \, dx \)
Five persons A, B, C, D and E are in queue at a shop. The probability that A and B are always together is.
The probability of choosing randomly a number \( c \) from the set \( \{1, 2, 3, \dots, 9\} \) such that the quadratic equation \( x^2 + 4x + c = 0 \) has real roots, is
If \( f(x) + 2f(1 - x) = x^2 + 5 \) for all real values of \( x \), then \( f(x) \) is given by:
Which of the following statement is incorrect for \( \mathrm{H_2O_2} \) structure?
If A, B, and C are three mutually exclusive and exhaustive events such that \( P(A) = 2P(B) = 3P(C) \). What is \( P(B) \)?
Which of the following gases is responsible for acid rain?
Which among the following will not liberate nitrogen on reaction with nitrous acid?
How many numbers greater than 50000 can be formed by using digits 2, 5, 5, 6, 7?
The solution of the differential equation \( \frac{dy}{dx} + \sqrt{\frac{1 - y^2}{1 - x^2}} = 0 \) is
The line \( \frac{x-3}{4} = \frac{y-4}{5} = \frac{z-5}{6} \) is parallel to the plane.
Which of the following is used to prepare the inner lining of a blast furnace?
If \( p = \hat{i} + \hat{j}, q = 4\hat{k} - \hat{j} \) and \( r = \hat{i} + \hat{k} \), then the unit vector in the direction of \( 3p + q - 2r \) is
Which of the following statement is incorrect about activation energy? Higher the activation energy slower is the rate of reaction.
For the reaction \( 2 N_2O_5 \rightarrow 4 NO_2 + O_2 \). If initial pressure is 100 atm and rate constant \( k \) is \( 3.38 \times 10^{-5} \, \text{s}^{-1} \), After 20 min the final pressure of \( N_2O_5 \) will be:
If \( S = \frac{2^2 - 1}{2} + \frac{3^2 - 2}{6} + \frac{4^2 - 3}{12} + \ldots\) \text{ upto 10 terms, then S is equal to}
\( \sum_{n=1}^{m} n \cdot n! \) is equal to
The point \( (-3, -2) \) lies
The distance of point \( (1, 2) \) from line \( x + y + 2 = 0 \) measured along the line parallel to \( 2x - y = 5 \) is equal to: