Mathematics Past Questions and Answers

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.

A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 \(\leq\) x \(\leq\) 2, at which point(s) will they meet?

Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)

If y = 2x - sin2x, find dy/dx when x = π/4