AB is a chord, find point p on circle such that pa.pb and pa+pb are maximum

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is a chord of a circle . (a) Find a point on the circumference of such that . is the maximum. (b) Find a point on the circumference of which maximizes +.

My work: (a)I draw a chord on the cirlce , and choose any random point to construct the triangle. Now, let the area of the triangle inscribed in the circle be Δ and the radius of the circle be . know for PA.PB to be maximum PA=PB hence the triangle is an isosceles triangle