If x² - 3x + 2 is a factor of x³ - ax² + b, find the values of a and b.

In the given figure, P(-3, -4) is the mid-point of the line segment AB.

Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.

If the 3rd and the 9th terms of an arithmetic progression are 4 and -8 respectively. Which term of it is zero ?

A and B are two events such that P(A) = 0.56 and P(B) = 0.64, find :

(i) P(not A)

(ii) P(not B)