Question

Let A1, A2, A3, A4,........, A8 be the vertices of the regular octagons that lie on the circle of radius 2. Let p be a point on the circle and let PAi denote the distance between the point P and Ai for i = 1,2,3,....,8. If P varies over the circle, then the maximum value of the product is PA1.Pa2..........PA8, is

Answer 1

The correct answer is: 29 = 512
The vertices A1, A2, A3, ..., A8 of a regular octagon are positioned on a circle with a radius of 2. Consider Z as the result of evaluating (2) × (1) × (1/8), resulting in Z8 being equal to 28 × 1.
Thus, the expression Z8 – 28 equals zero.MAX ( P1,P2,P8)=29 = 512