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Circle question

2023 · Shift 2 · Q28

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PYQ Library
JEE Advanced
Mathematics
Circle
2023 · Shift 2 · Q28

Circle question

2023 · Shift 2 · Q28

JEE AdvancedMathematicsCircleNumerical+4 / −1

Let

A_1, A_2, A_3, \ldots, A_8

be the vertices of a regular octagon that lie on a circle of radius 2 . Let

P

be a point on the circle and let

P A_i

denote the distance between the points

P

and

A_i

for

i=1,2, \ldots, 8

. If

P

varies over the circle, then the maximum value of the product

P A_1 \times P A_2 \times \cdots \cdots \times P A_8

, is :

Numerical answer

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