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

Solution of the differential equation `x(dy/dx)^2 + 2sqrt(xy) dy/dx + y = 0` is ______

If q: There are clouds in the sky then p: it is raining. The symbolic form is ______

The solution of the equation (3y - 2) dx - (3x + 7) dy = 0 is ______

The differential equation of all circles which passes through the origin and whose centre lies on the X-axis is ______

Which of the following function is not continuous at x = 0?

Solution of differential equation `xdy/dx - y = x^3` is ______ 

If 2x - 4y = 9 and 6x - 12y + 7 = 0 are the tangents of same circle, then its radius will be ______ 

The area of the region bounded by the curve y = 2x - x² and the line y = x is ______ square units.

The general solution of x `"dy"/"dx" = "y" - x tan ("y"/x)`is ________.

The area enclosed between the curves y = x^2, and y = `sqrtx` is, (in square units) ______ 

The solution of the differential equation `dy/dx = (x - 2y + 1)/(2(x - 2y))` is ______ 

The solution of the differential equation `(y^2 + xy^2)dx/dy + x^2 - yx^2 = 0` is ______ 

If A is the area of the region bounded by the curve y = `sqrt(3x + 4)`, X-axis and the lines x = -1 and x = 4 and B is that area bounded by curve y² = 3x + 4, X-axis and the lines x = -1 and x = 4, then A : B is equal to ______

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

If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______ 

Solution of the equation `dy/dx + y/(x + logy) = 0` is ______ 

Which of the following is false?

The area of the region bounded by the parabolas 4x² = 25y and 5y² = 16x is ______

The particular solution of the differential equation log `("dy"/"dx")` = x, when x = 0, y = 1 is ______.