Mathematics Past Questions and Answers

If \(x=\frac{a^{n}+a^{-n}}{2} and y=\frac{a^{n}-a^{-n}}{2} find the value of x^{2}-y^{2}\).

What's the remainder when 4 x^{3}-5 x+2 is divided by (x-1)

If \(a=2+\sqrt{3}\), find the value of a-1 / a

The 2 nd and 5 th terms of a geometric progression are 24 and 81 respectively. Find the common ratio.

A family of 5 is to sit round a dining table. In how any different ways possible can they sit?