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If `C` is the center and `A ,B` are two points on the conic `4x^2+9y^2-8x-36 y+4=0` such that `/_A C B=pi/2,` then prove that `1/(C A^2)+1/(C B^2)=(13)/(36)dot`

A

`(13)/(36)`

B

`(36)/(13)`

C

`(16)/(33)`

D

`(33)/(16)`

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The correct Answer is:
A
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