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

A solution of the equation tan^-1(1 + x) + tan^-1(1 - x) = `pi/2` is ______ 

The solution of the differential equation y dx - x dy = xy dx is ______.

If p and q are true and rands are false statements, then which of the following is true?

Let p : 7 is not greater than 4 and q : Paris is in France by two statements. Then ∼(p ∨ q) is the statement ______ 

The negation of (p ∨ ∼q) ∧ q is ______

Which of the following is NOT true for p → q.

If f(x) = 3x + 6, g(x) = 4x + k and fog (x) = gof (x) then k = ______.

`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 ______

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 ______

`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 ______.

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` = ______

If `tan^-1x = 2tan^-1((1 - x)/(1 + x))`, then the value of x is ______