MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions for Mathematics

Which of the following is not equal to w · (u × v)?

`int (x^2 + 1)/(x^4 - x^2 + 1)`dx = ?

The solution of the differential equation `("d"theta)/"dt" = - "k"(theta - theta_0)` where k is constant, is ______.

The solution of the equation `dx/dy - x = y + 1` is ______

If y = log `[(x + sqrt(x^2 + 25))/(sqrt(x^2 + 25) - x)]` then `"dy"/"dx"` = ______.

The principle solutions of equation tan θ = -1 are ______ 

The acute angle between lines x - 3 = 0 and x + y = 19 is ______.

If `sin^-1(x/13) + cosec^-1(13/12) = pi/2`, then the value of x is ______

The Boolean expression ∼(q ⇒ ∼p) is equivalent to: ______

The acceleration of a moving particle whose space-time equation is given by s = 7t² - 3t + 8, is ______

In Δ ABC, with the usual notations, if sin B sin C = `"bc"/"a"^2`, then the triangle is ______.

`int "dx"/((sin x + cos x)(2 cos x + sin x))` = ?

The solution of differential equation `(x^2 + 1) "dy"/"dx" + (y^2 + 1) = 0` is ______.

sin[3 sin^-1 (0.4)] = ______.

Which of the following function has period 2?

If one of the diameters of the curve x² + y² - 4x - 6y + 9 = 0 is a chord of a circle with centre (1, 1), then the radius of this circle is ______ 

The inverse of the statement "If its quality is good. then it is expensive.", is ______ 

`int dx/(1 + e^-x)` = ______

The area of the region bounded by y = |x - 2| and y = 2 is ______ 

`int(5x + 2)/(3x - 4) dx` = ______