1. Given the points P (1, - 4). Q (3,-2), R (-3,5), find the coordinates of the mid-points A and B of PO and PR respectively and distance AB.

2. Calculate the value of cand the mean of the distribution with probability density function f(x) = cx? where x = 2,3,4 and 5.

- 3. Calculate P(A) given that P (AUB)= 0.98 where, P(B) = 0.72, if A and B are mutually exclusive events.

4. Given the center of a circles as (1,2) and radius 13 find its equation.

5. Find the eccentricity and the foci of the ellipse x2 - y2 16 9 1.​