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:

Coordinate Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 6 Apr, Evening shift · Q12

JEE Main 20266 Apr, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let

x=9

be a directrix of an ellipse E, whose centre is at the origin and eccentricity is

\dfrac13

. Let P

(\alpha, 0)

\alpha>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 2026 · 6 Apr, Evening shift · Q12

JEE Main 20266 Apr, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let

x=9

be a directrix of an ellipse E, whose centre is at the origin and eccentricity is

\dfrac13

. Let P

(\alpha, 0)

\alpha>0

, be a focus of E and AB be a chord passing through P. Then the locus of the mid point of AB is :