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Curves C1:x^(2)+y^(2)=r^(2) and C2:x^(2)...

Curves `C_1:x^(2)+y^(2)=r^(2) and C_2:x^(2)/16+y^(2)/9=1` intersect at four distinct points A,B,C and D. Their common tangents from a parallelogram PQRS. Q. If ABCD is sqyare, then the value of `25r^(2)` is

A

`(144)/(25)`

B

`(25)/(4)`

C

`(15)/(2)`

D

`(576)/(25)`

Text Solution

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The correct Answer is:
D
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