1. A point P divides the straight line joining X(1, -2) and Y(5, 3) internally in a ratio 2:3. Find the
(a) coordinates of P.
(b) equation of the straight line that passes through N(3, -5) and P.

2. (a) Find the sum of the series 32 + 8 + 2 + …,

(b) Simplify: 1−25−3−1+25+3

3. Without using mathematical tables or calculator, find, in surd form (radicals), the value of tan⁡22.5∘.