List of top Mathematics Questions asked in MHT CET

Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan^-1x + tan^-16x = \(\frac{\pi}{4}\)}, then A is...

The differential equation dy/dx=√1-y2/y determines a family of circles with

General Solution of the differential equation:
\(cos\,x(1+cos\,y)dx-sin\,y(1+sin\,x)dy=0\) is:

Find the equivalent of p∧(qvr)v~(r∧~(p∧q)).

Find probability of getting a black card on a face card from a well shuffled deck of 52 cards?

Solution of sinx + sin5x = sin 3x in (0,ℼ/2) are..?

Find ∑(x-xi)2=100, no. of observations = 20, ∑xi=20.

Three vectors a, b and c are given. Find the equation of a vector that lies in the plane of vector a and vector b and whose projection on vector c is 1/√3.

Differentiate \(tan^{-1}(\frac{\sqrt{1+x^2}-1}{x}) \,w.r.t\,\,cos^{-1}(\frac{\sqrt(1+\sqrt{1+x^2})}{2\sqrt({i}+x^2)})\)

Find ∫(cos√x) dx=?

Find area bounded by region, y=3x+1, y=4x+1 and x=3?

Two lines \(2x=3y=-z\) and \(6z=-y=-4z\) intersect at a point, then find the angle between them.

A man takes a step forward with a probability 0.4 and backward with a probability 0.6. The probability that at the end of eleven steps, he is one step away from starting point is?

Find \(tan^{-1}[\frac{(1-sin\,x+cos\,x)}{(1+sin\,x-cos\,x)}]\) = ?

Find the value of \(\int\frac{dx}{\,sin^2x\,cos^2x}\) = ?

The equation of the normal to the curve \(3x^2 + y^2 = 8\), which is parallel to the line \(x + 3y = 10\) is?

Find variance of first 2n natural numbers.

Mean + Variance = 1.8, n = 5, Find p(probability of success).

If the angle between the lines given by the equation \(x^2 -3xy + dy^2 + 3x - 5y + 2=0\); \(d > 0\), is \(tan^{-1} (\frac{1}{a})\) then the value of d is?

-{tan(1/x) - (1/x)} + c

If \((tan^{-1} x)^2 + (cot^{-1}x)^2 = \frac{5x\pi^2}{8}\), x=?

Rolle Theorem f(x) = sin x + cos x. Find c ε [0,2,π]

Variance of first 2n natural numbers?

Solution of (1+xy) y dx+ (1-xy)x dy=0 is?

The principal value of sin-1(sin 3ℼ/4) is?