List of top Questions asked in MHT CET- 2026

For the curve \( y = 3x^3 - 3x^2 + 1 \) at \( x = 1 \), find the equation of the tangent.

Name the reagent used in the conversion of benzene to nitrobenzene.

Which of the following polymers is a copolymer: Buna-S, Polythene, or PVC?

Determine the ratio of the speed of sound in Oxygen to that in Hydrogen at the same temperature.

Find the equivalent resistance between two opposite corners of a cube made of wires, each having resistance \(R\).

Calculate the de-Broglie wavelength of an electron accelerated through a potential difference of \(100\text{ V}\).

If \( \vec{a} \) and \( \vec{b} \) are unit vectors and the angle between them is \(60^\circ\), find \( |\vec{a}-\vec{b}| \).

Find the general solution of the differential equation \( \dfrac{dy}{dx} + \dfrac{y}{x} = x^2 \).

Calculate the area of the region bounded by the curve \( y^2 = 4x \) and the line \( x = 3 \).

Find the value of \( k \) if the function \( f(x) = \dfrac{k\sin x + 2\cos x}{\sin x + \cos x} \) is increasing for all \( x \).

Which of the following aqueous solutions will show maximum vapour pressure at 300 K?

Which of the following reagents is used to prepare alkyl isocyanides from alkyl halides $(RX)$?

Identify the product when a ketone reacts with hydrazine $(NH_2-NH_2)$

The monomer used to prepare Orlon is

The solution of the differential equation $\frac{dy}{dx} = \frac{x+y}{x-y}$ is

The coordinates of the foot of the perpendicular from the origin to the plane $2x - 3y - 6z = 4$ are

In $\triangle ABC$, if $2a^2 = b^2 + c^2$, then the value of $\frac{\cos 3A}{\cos A} + 2$ is

The value of $\tan^{-1}(\sqrt{3}) + \sec^{-1}(-2) - \sin^{-1}\left(-\frac{1}{2}\right)$ is

Evaluate the integral: \(\int \frac{2x}{x^2 - 5x + 4} \, dx\)

Evaluate the integral: \(\int \frac{\sin x}{\sin 4x} \, dx\)

A gas having \(\gamma = \frac{5}{2}\) and volume 360 cc is suddenly compressed to 90 cc. If the initial pressure of the gas is \(P\), find the final pressure.

Find the heat energy that must be supplied to 14 g of nitrogen at room temperature to raise its temperature by \(48^\circ\text{C}\) at constant pressure. (Molecular weight of nitrogen = 28; \(R\) is the gas constant; \(C_p = \frac{7}{2}R\) for a diatomic gas.)

A particle starts oscillating simple harmonically from its mean position with time period \(T\). At time \(t = \frac{T}{6}\), find the ratio of potential energy to kinetic energy of the particle.

An air column is of length 17 cm. Find the ratio of the frequency of the 5th overtone when the column is closed at one end to that when it is open at both ends. (Speed of sound in air = 340 m/s.)

For the curve \(y = 3x^3 - 3x^2 + 1\) at \(x = 1\), find the equation of the tangent.