The line x = 8 is the directrix of the ellipse E : x^2 a^2 + y^2 b^2 =1 with the corresponding focus (2, 0)....

Question

The line x = 8 is the directrix of the ellipse E : x^2 a^2 + y^2 b^2 =1 with the corresponding focus (2, 0). If the tangent to E at point P in the first quadrant passes through the point (0, 4 3) and intersects the x-axis at Q, then (3PQ)^2 is equal to :

Accepted Answer

39

JEE Main 2023 Mathematics question

Solution