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Consider the conic ex^(2)+piy^(2)-2e^(2)...

Consider the conic `ex^(2)+piy^(2)-2e^(2)x-2pi^(2)y+e^(3)+pi^(3)= pie`. Suppose P is any point on the conic and `S_(1),S_(2)` are the foci of conic, then the maximum value of `(PS_(1)+PS_(2))` is -

A

`pie`

B

`sqrt(pie)`

C

`2sqrt(pi)`

D

`2sqrte`

Text Solution

Verified by Experts

The correct Answer is:
C
`ex^(2)+piy^(2)-2e^(2)x-2pi^(2)y+e^(3)+pi^(3)=pie`
`e(x^(2)-2ex+e^(2))+pi(y^(2)-2piy+pi^(2))=pie`
`((x-e)^(2))/(pi)+((y-pi)^(2))/(e)=1`
`a^(2)=pirArra=sqrtpi" "pigte`
`PS_(1)+PS_(2)=2a" Major axis is || to axis"`
`PS_(1)+PS_(2)=2sqrtpi`
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