List of top Questions asked in COMEDK UGET

The solution of the differential equation \( x \frac{dy}{dx} = \cot y \) is
The P – O bond order in \( \text{PO}_4^{3-} \) is
If A, B, and C are three mutually exclusive and exhaustive events such that \( P(A) = 2P(B) = 3P(C) \). What is \( P(B) \)?
What is the function of platelets?
The slope of lines which makes an angle \( 45^\circ \) with the line \( 2x - y = -7 \)
A regular polygon of \( n \) sides has 170 diagonals. Then \( n \) is equal to:
Which of the following series spectrum of hydrogen atom lies in ultraviolet region?
If \( \sin A + \sin B = a \) and \( \cos A + \cos B = b \), then \( \cos(A + B) \) equals?
The wavelength of the second line of the Balmer series is 486.4 nm. What is the wavelength of the first line of Lyman series?
Minimum number of nodes are present in
If \( 4^n + 15n + P \) is divisible by 9 for all \( n \in \mathbb{N} \), then the least negative integral value of \( P \) is
The spectrum of He\(^+\) is similar to
The point of intersection of the lines \( \frac{x - 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{3} \) and \( \frac{x - 5}{2} = \frac{y - 2}{1} = \frac{z - 5}{2} \)
The relation between work done in reversible and irreversible process is
Maximum value of \( z = 12x + 3y \), subject to constraints \( x \geq 0, y \geq 0, x + y \leq 5 \) and \( 3x + y \leq 9 \) is
In which of the following changes, entropy decreases?
The correct condition for physical adsorption is
The angle between the lines \( \frac{x+4}{3} = \frac{y-1}{5} = \frac{z+3}{4} \) and \( \frac{x+1}{1} = \frac{y-4}{1} = \frac{z-5}{2} \)
There are 12 points in a plane out of which 3 points are collinear. How many straight lines can be drawn by joining any two of them?
Evaluate the integral \( \int \frac{1}{x \sqrt{ax^2 - x^2}} \, dx \)
If \( \theta \) be the angle between the vectors \( a = 2\hat{i} + 2\hat{j} - \hat{k} \) and \( b = 6\hat{i} - 3\hat{j} + 2\hat{k} \), then
Evaluate the integral \( 3 \int \frac{3^x}{\sqrt{1 - 9^x}} \, dx \)
Evaluate the integral \( \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \cos x \, dx \)
Which of the following is a false statement?
Find the general solution of \( \sin 2x + \cos x = 0 \).