List of top Questions asked in MHT CET- 2026

Given the following expression
A) \((\overset{⃗}{a}\times \overset{⃗}{b})\cdot \overset{⃗}{c}\)
B) \(\overset{⃗}{a}\times (\overset{⃗}{b}\cdot \overset{⃗}{c})\)
C) \(\overset{⃗}{a}\cdot (\overset{⃗}{b}\cdot \overset{⃗}{c})\)
D) \(|\overset{⃗}{a}|(\overset{⃗}{b}\cdot \overset{⃗}{c})\)
E) \((\overset{⃗}{a}\cdot \overset{⃗}{b})\times (\overset{⃗}{b}\cdot \overset{⃗}{c})\)
Then which of the following is not correct

If \(\overset{⃗}{u} = \hat{i}+2\hat{j}-2\hat{k},\overset{⃗}{v} = 2\hat{i}+\hat{k}\) and \(\overset{⃗}{w}\) is unit vector then the maximum value of scalar triple product \([\overset{⃗}{u} \overset{⃗}{v} \overset{⃗}{w}]\) is

The order and degree of the differential equation \(\sqrt{⎷1+\frac{1}{(\frac{dy}{dx})^2}} = (\frac{d^2y}{dx^2})^{\frac{3}{2}}\), respectively are

The general solution of the differential equation \(\frac{dy}{dx}+\frac{y}{x} = x^2+5\) is ....

If \(I_n = \int _0^{π/4}tan^nx dx,n\in N\) then \(I_{n+2}+I_n\) is equal to

The area in square units of the region bounded by the curve \(y = \sqrt{16-x^2}\) and lines \(x = 0,x = 4\) above the X-axis is

Let \(\overset{⃗}{a} = 2\hat{i}+\hat{k},\overset{⃗}{b} = \hat{i}+\hat{j}+\hat{k}\), and \(\overset{⃗}{c} = 4\hat{i}-3\hat{j}+7\hat{k}\). If \(\overset{⃗}{r}\) is a vector such that \(\overset{⃗}{r}\times \overset{⃗}{b} = \overset{⃗}{c}\times \overset{⃗}{b}\) and \(\overset{⃗}{r}\cdot \overset{⃗}{a} = 0\), Then \(\overset{⃗}{r}\cdot \overset{⃗}{c} =\)

The value of the integral \(\int _{1/e}^e\frac{|logx|}{x^2}dx\) is

If \(\int _{-π/2}^{π/2}(sin^2x+sin^3x)dx = k\), then the value of \(k\)

\(\int \frac{logx}{(1+logx)^2}dx =\)

\(\int \frac{1}{\sqrt{2x-x^2}}dx =\)

\(\int (x^{21}+x^6+x^3)(2x^{18}+7x^3+14)^{\frac{1}{3}} dx =\)

The line \(x+y = 0\) touches the curve \(y^2 = ax^3+b\) at \((1,-1)\) then values of \(a\) and \(b\) respectively are ...........

The function \(f(x) = x(x+3)e^{-(\frac{1}{2})x}\) satisfies all the conditions of Rolle's theorem in \([-3,0]\), then \(c =\)

An aeroplane at an altitude of 1 km is flying horizontally at 600 km / hr, passes directly over an observer. Then the rate at which it is approaching the observer when it is 1250 meters away from him is........

If \(\int f(x)dx = g(x)+c\) then \(\int f^{-1}(x)dx =\)

If \(y = cos^2[cot^{-1}(\sqrt{\frac{1-x}{1+x}})]\) then \(\frac{dy}{dx} =\) ........

If \(\sqrt{\frac{x}{y}}+\sqrt{\frac{y}{x}} = 6\), then \(\frac{dy}{dx} =\)

If \(x = asin^3t\) and \(y = acos^3t\), then the value of \(\frac{d^2y}{dx^2}\) at \(t = \frac{π}{3}\) is equal to

If \(x = 4t^3+3,y = 3t^4+4\) and \(\frac{\frac{d^2x}{dy^2}}{(\frac{dx}{dy})^n}\) is constant then the value of \(n\) is

If the function \(f(x)\) defined by \(f(x) = \{\begin{array}{cc}ax+1 & \text{if }x\leq 3 \\ bx+3 & \text{if }x > 3\end{array}\) is continuous at \(x = 3\), then \((a-b) =\) ..........

If \(f(x),g(x)\) be twice differentiable functions, satisfying \(f^{''}(x) = g^{''}(x),f^'(1) = 2g^'(1) = 4\) and \(f(2) = 3g(2) = 9\) then \(f(x)-g(x)\) at \(x = 4\) is equal to

If \(3sin^{-1}(\frac{2x}{1+x^2})-4cos^{-1}(\frac{1-x^2}{1+x^2})+2tan^{-1}(\frac{2x}{1-x^2}) = \frac{π}{3}\) then \(x = ?\)

Let \(A = \left[ \begin{array}{ccc}3 & 1 & 2 \\ 1 & 2 & 0 \\ 1 & 1 & 4\end{array} \right]\) and \(pC_{11}+4C_{21}-5C_{32} = -2\), where \(C_{ij}\) denotes the cofactor of an element \(a_{ij}\) of matrix \(A\), then the value of \(p\) is :

If \(f(x) = \frac{2x-1}{x+5}\), \(x\neq -5\) then \(f^{-1}(x)\) is equal to