Let x=9 be a directrix of an ellipse E, whose centre is at the origin and eccentricity is \;1/3. Let P(α, 0), α0, be a focus of E and AB be a chord passing through P. Then the locus of the mid point of AB is : [JEE Main 6 Apr 2026 shift 2]

Question

Let x=9 be a directrix of an ellipse E, whose centre is at the origin and eccentricity is \;1/3. Let P(α, 0), α>0, be a focus of E and AB be a chord passing through P. Then the locus of the mid point of AB is : [JEE Main 6 Apr 2026 shift 2]

Examsnet · Accepted Answer

Correct Answer is : 9y2=8x(1−x)9 y²=8 x(1-x)9y2=8x(1−x)

Ellipse