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JEE MAIN 2026
06-04-2026 S2
Question
Let $x=9$ be a directrix of an ellipse $E$, whose centre is at the origin and eccentricity is $\frac{1}{3}$. Let $\mathbf{P}(\alpha, 0)$, $\alpha>0$, be a focus of E and AB be a chord passing through P . Then the locus of the mid point of AB is
Select the correct option:
A
$9 y^2=8 x(1-x)$
B
$3 y^2=4 x(1-x)$
C
$9 y^2=8 x(x-1)$
D
$3 y^2=4 x(x-1)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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