Further Mathematics Past Questions and Answers

Given that \(\frac{1}{8^{2y - 3y}} = 2^{y + 2}\).

Two statements are represented by p and q as follows:
p : He is brilliant; q : He is regular in class
Which of the following symbols represent "He is regular in class but dull"?

Given that \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = p + q\sqrt{6}\), find q.

Find the locus of points which is equidistant from P(4, 5) and Q(-6, -1).

If \(f(x) = \frac{1}{2 - x}, x \neq 2\), find \(f^{-1}(-\frac{1}{2})\).