Maths
General
Easy
Question
If CP and CD are semi – conjugate diameters of an ellipse then CP^{2} + CD^{2} =
 a + b
 a^{2} + b^{2}
 a^{2} – b^{2}

Hint:
Properties of conjugate diametersi)Sum of squares of any two conjugate semi diameters of ellipse is equal to sum of square of semi axes of ellipse.
ii) Square of semi diameter which is conjugate to the diameter through a point is equal to the product of focal distances of a point on an ellipse.
The correct answer is: a^{2} + b^{2}
Given : CP and CD are semi – conjugate diameters of an ellipse
Let coordinates of P(a cos , b sin)
Coordinates of D( a cos , a sin) = (a sin , b cos)
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