List of top Questions asked in MHT CET- 2026

If \(\int _0^k\frac{1}{1+4^x}dx = log_2(\frac{4}{3})\), then \(k =\) _____

\(\int \sqrt{4^x(4^x+4)}\,dx = \cdots\)

The value of \(\int \frac{1}{x^2-5x+8}dx\) is equal to...

\(\int \frac{sinx}{sin4x}dx =\)

\(\int \frac{2x}{4-3x-x^2}dx = \cdots\)

The value of \(k\) such that the function \(f(x) = sinx-cosx-kx+b\) is strictly decreasing for all real \(x\) is

If \(\int _2^e[\frac{1}{logx}-\frac{1}{(logx)^2}]dx = a+\frac{b}{log2}\), then values of \(a\) and \(b\) are

The tangent to the curve \(y^2-xy+9 = 0\) is vertical when

If the function \(f(x) = ax^3+bx^2+11x-6\), defined on \([1,3]\), satisfies all the conditions of Rolle's theorem for \(c = 2+\frac{1}{\sqrt{3}}\), then

If \(x^3+y^3 = 6\) and \(\frac{d^2y}{dx^2}\cdot \frac{d^2x}{dy^2} = \frac{m}{(xy)^n}\), where \(m,n\in R\) then \(\frac{m}{n} =\)

If \(x = sin(t),y = cos(pt)\), then \((1-x^2)\frac{d^2y}{dx^2}-x\frac{dy}{dx} =\)

The derivative of \(tan^{-1}(\frac{\sqrt{1+x^2}-1}{x})\) with respect to \(sin^{-1}(\frac{2x}{1+x^2})\) is...

If the derivative of \(tan^{-1}(a+bx)\) with respect to x at \(x = 0\) is \(1\), then \(a^6-b^3 =\)

If \(cot(cos^{-1}x) = sec(tan^{-1}\frac{a}{\sqrt{b^2-a^2}})\), then the value of \(x\) is

Let the function f be defined by \(f(x) = \frac{x-|x|}{x}\), for \(x\neq 0\) and \(f(0) = 2\) then f is

If \(\left[ \begin{array}{ccc}2 & 1 & -1 \\ -1 & 2 & 1 \\ 1 & -1 & 2\end{array} \right]\left[ \begin{array}{c}a \\ b \\ c\end{array} \right] = \left[ \begin{array}{c}4 \\ 0 \\ -2\end{array} \right]\) then the distance of point \(P(a,b,c)\) from the plane \(2x+y+2z = 10\) is

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

In triangle ABC, with usual notations, if the angles are in Arithmetic Progression and \(3c^2 = 2b^2\), then the measure of angle A is

Consider the following statements
\(r\): If \(p\rightarrow q\) is false then \(p∨q\) is false.
\(s\): If \(p\leftrightarrow q\) is false then \(p∨q\) is false.
The truth values of \(r\rightarrow s\) and \(s\rightarrow r\) are respectively ____

If \(A = \{1,2,3,4,5,6\}\) then which of the following is not true?

If \(A = \left[ \begin{array}{ccc}0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0\end{array} \right]\) then which of the following is true ?

The ellipse \(4x^2+9y^2 = 1\) intersects positive Y-axis at point A. If S and S' are its foci, then the area (in sq. units) of \(\Delta SAS^'\) is _____

\(\underset{x\rightarrow 1}{lim}[\frac{x-2}{x^2-x}-\frac{1}{x^3-3x^2+2x}] =\)

If the distance between the lines represented by \((x-2y)^2+k(x-2y) = 0\) is \(3\) units and \(k > 0\) then the equations of the lines are

The line \(2x+y = 4\) intersects X and Y axes at points A and B respectively. Let \(C(p,q)\) be the point such that the lines AC and BC are perpendicular. The distance of point C from the midpoint of segment AB is...