List of top Questions asked in KEAM- 2026

Which of these have the least bond length (in pm)?

Two solutions that are isotonic have same ......

Magnitude and direction of acceleration changes for:

What happens to a ferromagnetic material when its temperature is raised above Curie temperature?

A couple can result in which type of motion:

First element in 3d series which shows +2, +3, +4, +6 oxidation state

If \( \vec{F} \) and \( \vec{S} \) represent force and displacement respectively, then which of the following statements is true:

If current through a single circular loop of radius 10 cm produces a magnetic field of \( B \, \text{Tesla} \) at the centre, what is the current through the loop?

Which force holds the nucleons together in the nucleus of the atom?

If the de Broglie wavelength of \( \alpha \)-particle and proton are equal, then the momentum \( P \) and kinetic energy \( E \) are related as:

Two lenses, one of focal length 20 cm and another of power 4D are placed together, what is the effective power of the combination?

A body starting from rest moves with a constant acceleration of \( 2 \, \text{m/s}^2 \). What is the distance covered by the body in the interval between 5 s and 6 s?

A constant force acts on a body at rest, resulting it to move with constant acceleration. If power relates to time as \( P \propto t^n \), what is the value of \( n \)?

If two planets A and B have their densities in the ratio 2:1 and radii in the ratio 1:2, what will be the ratio of escape velocities from their surfaces?

The range of the function \( f(x) = \frac{1}{7 + 4\sin x + 3\cos x} \).

Evaluate \( \int \frac{x^2 + 6x + 1}{(x+3)^2} \, dx \).

If \( \alpha^2 - \frac{1}{\alpha^2} = 2 \), find \( \left( \alpha + \frac{1}{\alpha} \right)^{16} \).

If \( 2 \cot^{-1} \left( \frac{4}{3} \right) = \cos^{-1} \left( \frac{x}{5} \right) \), find \( x \).

Find the value of \( \cot 10^\circ \times \cot 30^\circ \times \cot 45^\circ \times \cot 60^\circ \times \cot 80^\circ \)

If \( Z = 1 + i \) and \( Z - 24\overline{Z} = \lambda Z^2 \), find \( \lambda \).

Find the locus of \( Z = x + iy \) satisfying \[ \frac{\text{Re}(z)}{2 + i} + \frac{\text{Im}(z)}{1 + 2i} = \frac{3}{1 - 2i} \]

If the sum of the first two terms of a G.P. is 12 and the third term is 16, find the common ratio \( r \).

If \( y = \frac{1}{3\sqrt{x}} \left( \frac{2}{x} - 3 \right) \), find the interval in which \( y \) is strictly decreasing.

The coefficient of \( x^3 \) in \( (2+x)^n \) is 160. Find the coefficient of \( x^6 \) in \( (2-x^2)^n \).

If \( f(x) = x^2 - 10x \), \( g(x) = e^x + 5 \), find \( g(2x) - f(g(x)) \).