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Let the diameter of a subset S of the p...

Let the diameter of a subset S of the plane be defined as the maximum of the distance between arbitrary pairs of points of S.
Q. Let `S={(x,y):(sqrt(5)-1)x-sqrt(10+2sqrt(5))y ge 0, (sqrt(5)-1)x+sqrt(10+12sqrt(5)) y ge 0, x^(2)+y^(2) le 9}` then the diameter of S is :

A

`(3)/(2) (sqrt(5)-1)`

B

`3(sqrt(5)-1)`

C

`3sqrt(2)`

D

3

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Verified by Experts

The correct Answer is:
D
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