Let the hyperbola H: \;x²/a²-\;y²/b²=1 pass through the point (2 {2},-2 {2}). A parabola is drawn whose focus is same as the focus of H with positive abscissa and the directrix of the parabola passes through the other focus of H. If the length of the latus rectum of the parabola is e times the length of the latus rectum of H, where e is the eccentricity of H, then which of the following points lies on the parabola? [28-Jul-2022-Shift-2]

Question

Examsnet · Accepted Answer

Correct Answer is : (33,−62)(3 {3},-6 {2})(33​,−62​)

Hyperbola