If 3x+4y=12 2 is a tangent to the ellipse x^2 a^2 + y^2 9 =1 for some a R, then the distance between the foci...

Question

If 3x+4y=12 2 is a tangent to the ellipse x^2 a^2 + y^2 9 =1 for some a R, then the distance between the foci of the ellipse is:

Accepted Answer

(D)

JEE Main 2020 Mathematics question