Test SeriesFree PYQsExamsPricing

JEE Main 2026 Mathematics question

MathematicsEllipseJEE Main 2026

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:

Answer: (A)

Solution

a/e=9 gives a=3, focus P(1,0), b²=a²(1−e²)=8, so E: x²/9+y²/8=1. The chord with midpoint (h,k)

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-015571