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An ellipse whose distance between foci S...

An ellipse whose distance between foci S and S' is 4 units is inscribed in the `triangleABC` touching the sides AB,AC and BC at P,Q and R, respectively. If centre of ellipse is at origin and major axis along X-axis, SP+S'P=6` Q. Equation of the ellipse is

A

`(x^(2)+y^(2)-14)^(2)=4(5x^(2)+9y^(2)-45)`

B

`(x^(2)+y^(2)-14)^(2)=4(5x^(2)+9y^(2)-54)`

C

`(x^(2)+y^(2)-14)^(2)=4(9x^(2)+5y^(2)-45)`

D

`(x^(2)+y^(2)-14)^(2)=4(9x^(2)+5y^(2)-54)`

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The correct Answer is:
A
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