JEE Mains 28-July-2022 Shift 2 Solved Paper

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?