JEE Main 26 June 2022 Shift 1 Solved Paper

Let the common tangents to the curves 4(x2+y2)=9 and y2=4x intersect at the point Q. Let an ellipse, centered at the origin 0 , has lengths of semi-minor and semi-major axes equal to OQ and 6, respectively. If e and I respectively denote the eccentricity and the length of the latus rectum of this ellipse, then ‌

l

e2

is equal to____