List of top Questions asked in MHT CET- 2026

If \(7\hat{j}+10\hat{k},-\hat{i}+6\hat{j}+6\hat{k}\) and \(-4\hat{i}+9\hat{j}+6\hat{k}\) are the position vectors of the vertices A, B and C repectively of \(△ABC\). Then the position vector of the point where the bisector of the angle A meets side BC is

If D and E are the midpoints of the sides BA and BC of triangle ABC, then \(\overline{AE}+\overline{DC} =\)

If the points \((1,1,μ)\) and \((-3,0,1)\) are equidistant from the plane \(\overset{⃗}{r}\cdot (3\hat{i}+4\hat{j}-12\hat{k})+13 = 0\), then the value of \(μ\) are

Let \(A(2,3,0)\), \(B(0,3,2)\) and \(C(4,0,3)\) be vertices of a triangle, then the area of the triangle is

If the lines \(\frac{x-1}{2} = \frac{y+1}{3} = \frac{z-1}{4}\) and \(\frac{x-2}{1} = \frac{y+m}{2} = \frac{z-2}{1}\) intersect each other, then the value of \(m\) is....

If \(a,b,c\) are distinct non-negative numbers and the vectors \(a\hat{i}+a\hat{j}+c\hat{k},\hat{i}+\hat{k},c\hat{i}+c\hat{j}+b\hat{k}\) lie in the same plane, then the value of \(c\) is...

The particular solution of the differential equation \(xdy+2ydx = 0\), when \(x = 2\) and \(y = 1\) is

The order and degree of the differential equation \(\sqrt{2+(\frac{d^2y}{dx^2})^3} = (\frac{d^3y}{dx^3})^{5/2}\) respectively are

The differential equation representing the family of curves \(xsinx+y^3 = 4ax\) is

\(\int _0^3\sqrt{9-x^2}dx =\)

The vector \(\overset{̄}{a}+3\overset{̄}{b}\) is perpendicular to \(7\overset{̄}{a}-5\overset{̄}{b}\) and the vector \(\overset{̄}{a}-4\overset{̄}{b}\) is perpendicular to \(7\overset{̄}{a}-2\overset{̄}{b}\). Then the angle between \(\overset{̄}{a}\) and \(\overset{̄}{b}\) is

If \(\int \frac{dx}{\sqrt{2ax-x^2}} = f(g(x))+c\), where \(c\) is constant of integration, then \(f(x),g(x)\) are respectively equal to

\(\int \frac{x+2}{x^2-7x+12}dx\) is equal to

\(\int \frac{x}{x+2}dx\) is equal to

If \([\cdot ]\) denotes the greatest integer function, then \(\int _1^4x[x]dx\) is equal to

If \(\int _1^a(2x+1)dx = 5\), then the sum of the values of \(a\) is..

The approximate value of \(\sqrt[3]{63}\) is

The difference between the local extreme values of the function \(f(x) = 2x^3-15x^2+36x+40\) is ......

If \(y = \sqrt{x^2+8x+3}\), then the value of \(\frac{d^2y}{dx^2}\) at \(x = 3\) is

A wire of length \(64\) m is to be bent to form a rectangle such that its area is maximum, then its area is.....

If \(y = \sqrt{tanx+\sqrt{tanx+\sqrt{tanx+\cdots \cdots \cdots \infty }}}\), then \((\frac{dy}{dx})^2\) at \(x = \frac{π}{4}\) is

If \(y = \sqrt{x+\sqrt{x^2+1}}\), then the value of \(\frac{dy}{dx}\) is

If \(y = sin(e^{log2x})\), then the value of \(\frac{dy}{dx}\) at \(x = \frac{π}{2}\) is

The minimum value of \((sin^{-1}x)^2+(cos^{-1}x)^2\) is............

If \(y = f(\frac{3+2x}{3-2x})\), where \(f(x) = tan(logx)\) and \(\frac{dy}{dx} = (\frac{A}{B+Cx^2})\cdot sec^2(log(\frac{3+2x}{3-2x}))\), then the respective values of A, B and C are ......