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

If C is the midpoint of AB and P is any point outside AB, then ______

lf `sqrt3costheta + sintheta = sqrt2`, then the general value of θ 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 ______

In ΔABC, tan`A/2 = 5/6` and tan`C/2 = 2/5`, then ______

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 ______

If lines `(x - 1)/2 = ("y" + 1)/3 = ("z" - 1)/4` and `(x - 3)/1 = ("y" - lambda)/2 = "z"/1` intersect each other, then λ = ______.

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

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

If 4ab = 3h², then the ratio of slopes of the lines represented by the equation ax² +2hxy + by² = 0 will be ______

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 = ______.