Question no. 03. What is the locus of mid point of focal chord of ellipse (x^/a^) + (y^2/b^2) =1

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Arun · Answer

We have : x 2 a 2 + y 2 b 2 = 1 Equation of chord having mid point ( h , k ) is T = S 1 ⇒ hx a 2 + ky b 2 − 1 = h 2 a 2 + k 2 b 2 − 1 ⇒ hx a 2 + ky b 2 = h 2 a 2 + k 2 b 2 Chord passes through focus ( ae , 0 ) ⇒ hae a 2 + 0 = h 2 a 2 + k 2 b 2 ⇒ h 2 a 2 + k 2 b 2 = eh a Hence equation of locus is ⇒ x 2 a 2 + y 2 b 2 = ex a

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Question no. 03. What is the locus of mid point of focal chord of ellipse (x^/a^) + (y^2/b^2) =1

Question no. 03. What is the locus of mid point of focal chord of ellipse (x^/a^) + (y^2/b^2) =1

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