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{P}_{{{1}}} and {P}_{{{2}}} are the lengths of the perpendicul

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$P_{1}$ and $P_{2}$ are the lengths of the perpendicular from the foci on the tangent of the ellipse and $P_{3}$ and $P_{4}$ are perpendiculars from extermities of major axis and P from the centre of the ellipse on the same tangent, then $\frac{P _{1} P _{2} - P ^{2}}{P _{3} P _{4} - P ^{2}}$ equals (where e is the eccentricity of the ellipse)

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P_{1}

and

P_{2}

are the lengths of the perpendicular from the foci on the tangent of the ellipse and

P_{3}

and

P_{4}

are perpendiculars from extermities of major axis and P from the centre of the ellipse on the same tangent, then

\frac{P _{1} P _{2} - P ^{2}}{P _{3} P _{4} - P ^{2}}

equals (where e is the eccentricity of the ellipse)

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Question Text

P_{1}

and

P_{2}

are the lengths of the perpendicular from the foci on the tangent of the ellipse and

P_{3}

and

P_{4}

are perpendiculars from extermities of major axis and P from the centre of the ellipse on the same tangent, then

\frac{P _{1} P _{2} - P ^{2}}{P _{3} P _{4} - P ^{2}}

equals (where e is the eccentricity of the ellipse)

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