List of top Questions asked in MHT CET- 2026

If \(g(x)\) is the inverse function of \(f(x)\), where \(f(x) = \frac{5x+3}{4x-1}\), then \(g(1) =\)

If \(f(x) = \sqrt{x^2+1},g(x) = \frac{x+1}{x^2+1},h(x) = 2x-3\), then \(f^'(h^'(g^'(x))) =\)

If \(\sqrt{y+x}+\sqrt{y-x} = c\) such that \(\frac{dy}{dx} = f(x)-\sqrt{[f(x)]^2-1}\), then \(f(x) =\) ____

\(\frac{d}{dx}[sin^2\{cot^{-1}\sqrt{\frac{1-x}{1+x}}\}] =\) ...

The element in 1st row and 2nd column of the inverse of the matrix \(\left[ \begin{array}{ccc}1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 0\end{array} \right]\) is ...

Let \(f(x) = (sin^{-1}x)^2+(cos^{-1}x)^2\) be a real-valued function defined on its domain. Then the sum of the greatest and the least values of \(f(x)\) is

The value of \(\frac{tan^{-1}(1)+cos^{-1}(\frac{1}{2})+sin^{-1}(\frac{1}{2})}{tan^{-1}(\sqrt{3})-sec^{-1}(-2)}\) is equal to

If \(A = [\begin{array}{cc}secθ & -tanθ \\ -tanθ & secθ\end{array}]\), \(θ\in (0,\frac{π}{2})\) such that \(A+adj\,A = 4I\), then \(θ =\)

If \(y = tan^{-1}(\frac{1}{x^2+x+1})+tan^{-1}(\frac{1}{x^2+3x+3})+tan^{-1}(\frac{1}{x^2+5x+7})+\ldots\) upto \(n\) terms, then \(y^'(0) =\)

The equation of the circle concentric with circle \(x^2+y^2-6x+7 = 0\) and which touches the line \(x+y+3 = 0\) is ....

The distance of the focus of the parabola \(y^2 = 16x\) from its directrix is...

The value of \(\underset{n\rightarrow \infty }{lim}\frac{(n+2)!+(n+1)!}{(n+2)!-(n+1)!}\) is ____

The pair of straight lines represented by the equation \(\sqrt{3}x^2-4xy+\sqrt{3}y^2 = 0\) are

Which of the following statements is logically equivalent to \(\sim (p\leftrightarrow q)\) ?

If the truth value of the compound statement
\([(p∨q)∧(q\rightarrow r)∧(\sim r)]\rightarrow (p∧q)\) is false, then the truth values of \(p\rightarrow q\) and \(q\rightarrow p\) are respectively...

The general solution of \(cosθ-sinθ = 1\) is

If \(sin3α = 4sinα\cdot sin(x+α)\cdot sin(x-α)\) where \(α\neq nπ,n\in Z\), then all possible values of \(x\) are given as

If \(cos(θ-α) = a\) and \(sin(θ-β) = b\), then the value of \(cos^2(α-β)+2absin(α-β)+cos^2(θ-α)\) is...

If the equation \(kx^2-5xy+6y^2+x-3y = 0\) represents a pair of straight lines, then the co-ordinates of their point of intersection are

The equation of the straight line passing through the point \((-5,3)\) such that the portion of the line intercepted between the axes is divided by the point in the ratio \(4:3\) (from the X-axis to the Y-axis) is...

Identify the term used for drugs that reduce or relieve pain without causing loss of consciousness.

The quadratic polynomial \(p(x)\) has roots \(1\) and \(α\), while quadratic polynomial \(q(x)\) has roots \(1\) and \(β\). Let \(α\) and \(β\) be the roots of \(r(x) = p(x)+q(x)\). Then \(\underset{x\rightarrow \infty }{lim}[\sqrt{p(x)}-\sqrt{q(x)}] =\)

Identify the use of Formalin from the followings.

Which of the following is chain growth polymer?

Identify the polymer obtained by addition polymerization method from following.