﻿ If CP and CD be any two semi-conjugate diameters of the ellipse  and the circle with CP and CD as diameters intersect in R, then R lies on the curve : Kaysons Education

# If CP and CD be Any Two Semi-conjugate Diameters Of The Ellipse  and The Circle With CP and CD as Diameters Intersect In R, Then R lies On The Curve

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## Question

### Solution

Correct option is

2(x2 + y2)2 = a2x2 + b2y2

C(0,0),

Equation of the circle with CP as diameter,

(x – x1)(x – x2) + (y – y1)(y – y2) = 0

… (1)

Similarly equation of circle with CD as diameter CD is

… (2)

Locus of point of int of (1) and (2) is obtained by elimination θ.

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