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$lf p, q are the segments of a focal chord of an ellipse b^{2} x^{2} + a^{2} y^{2} = a^{2} b^{2}, then$

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2b2(p+q)=apq

b2(p+q)=2apq

b2(p+q)=4apq

4b2(p+q)=apq

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detailed solution

Correct option is B

If PSQ is a focal chord of ellipse then H.M. of SP and SQ is semi latus rectum. ∴ 1SP+1SQ=2ab2⇒ 1p+1q=2ab2⇒ p+qpq=2ab2⇒ b2(p+q)=2apq

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lf p, q are the segments of a focal chord of an ellipse b2x2+a2y2=a2b2 , then

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$lf p, q are the segments of a focal chord of an ellipse b^{2} x^{2} + a^{2} y^{2} = a^{2} b^{2}, then$