List of top Questions asked in MHT CET- 2026

A black disc has a radius 'R' and wavelength corresponding to the maximum intensity is '\(λ\)'. The emissive power (E) for the different radii and maximum wavelengths is directly proportional to
Two masses \(m_1\) and \(m_2\) moving with velocities \(V_1\) and \(V_2\) in opposite directions collide elastically and after collision \(m_1\) and \(m_2\) move with velocities \(V_2\) and \(V_1\) respectively. The ratio \(\frac{m_2}{m_1}\) is
A particle performing U.C.M. of radius \(\frac{π}{2}\) m makes 'x' revolutions in time t. Its tangential velocity is
The power (P) is supplied to rotating body having moment of inertia 'I' and angular acceleration '\(α\)'. Its instantaneous angular velocity is
If the earth suddenly contracts to \((\frac{1}{3})^{rd}\) of its present size without change in its mass, the ratio kinetic energy of the earth after and before contraction will be (Earth is assumed to be a rotating sphere about itself)
The Variance of the following probability distribution of X is
X\(0\)\(1\)\(2\)\(3\)
P(X)\(q^3\)\(3q^2p\)\(3qp^2\)\(p^3\)
where \(0 < p < 1,q = 1-p\)
The minimum value of \(Z = 3x+y\), subject to the constraints \(2x+3y\leq 6,x+y\geq 1,x\geq 0,y\geq 0\) is....
If A and B are two events such that \(P(A) = \frac{2}{3}\), \(P(B) = \frac{1}{2}\) and \(P(A|B) = \frac{2}{3}\), then \(P(A^'\cup B)+P(A\cup B^') =\)
The length of rod is measured by meter scale having least count \(0.1\) cm and diameter is measured by vernier callipers having least count \(0.01\) cm. Length of rod is \(5.0\) cm and radius \(2.0\) cm. The percentage error in the calculated value of the volume is
The centers for disease control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is \(0.8\). If \(8\) people are given this vaccine, then the probability that exactly \(4\) will develop immunity is...
The direction cosines of a line which is perpendicular to the lines \(\frac{x-7}{2} = \frac{y+17}{-3} = \frac{z-6}{1}\) and \(\frac{x+5}{1} = \frac{y+3}{2} = \frac{z-6}{-2}\) are...
Let \((\overset{̄}{p}∧\overset{̄}{q})\) denote the angle between \(\overset{̄}{p}\) and \(\overset{̄}{q}\). If \(\overset{̄}{a}+\overset{̄}{b}+\overset{̄}{c} = \overset{̄}{0},|\overset{̄}{a}| = 7,|\overset{̄}{b}| = 5\) and \(|\overset{̄}{c}| = 3\) then (take \(π = \frac{22}{7}\))
If the lines \(\frac{x-5}{5m+2} = \frac{2-y}{5} = \frac{1-z}{-1}\) and \(x = \frac{2y+1}{4m} = \frac{1-z}{-3}\) are perpendicular to each other, then the value of m is ...
If a unit vector makes angles \(\frac{π}{4}\) with \(\hat{i}\), \(\frac{π}{3}\) with \(\hat{j}\) and \(θ\in (0,π)\) with \(\hat{k}\), then a value of \(θ\) is equal to...
The equation of the plane containing the lines \(\frac{x-1}{2} = \frac{y+1}{λ} = \frac{z}{2}\) and \(\frac{x+1}{5} = \frac{y+1}{2} = \frac{z}{λ}\) is
For the line \(\frac{x+1}{1} = \frac{y-2}{2} = \frac{z+3}{3}\), identify the incorrect statement among the following.
The solution of the differential equation \(\frac{dy}{dx} = e^{x-y}+x^2e^{-y}\) is...
The solution of the differential equation \(x^2\frac{dy}{dx}-xy = 1\) is...
If the differential equation \(\begin{array}{cc}f(x) & f^'(x) \\ f^'(x) & f^{''}(x)\end{array} = 0\) for all \(x\) and \(f(0) = 1,f^'(0) = 2\), then...
If \(\overset{̄}{a}\) and \(\overset{̄}{b}\) are unit vectors and \(θ\) (\(0 < θ < π\)) is the angle between them, then the value of \(\frac{|\overset{̄}{a}+\overset{̄}{b}|}{|\overset{̄}{a}-\overset{̄}{b}|}\) is equal to...
If ABCDEF is a regular hexagon and \(\overline{AB}+\overline{AC}+\overline{AD}+\overline{AE}+\overline{AF} = p\overline{AD} = q\overline{AO}\), where O is the center of the hexagon, then the values of \(p\) and \(q\) respectively are
The vector \(\overset{̄}{r}\) whose magnitude is \(3\sqrt{2}\) units and which makes angles of \(\frac{π}{4}\) and \(\frac{π}{2}\) with the positive y- and z-axes respectively is....
The area of the smaller region bounded by the circle \(x^2+y^2 = 4\) and the line \(x = 1\) is...
\(\int _0^{log10}[\frac{e^x\sqrt{e^x-1}}{e^x+8}]dx =\)
If the area bounded by the curve \(x^2 = by\) and the lines \(y = 1,y = 4\) in the first quadrant is \(28\) sq. units, then the value of b is...