- Tardigrade
- Question
- Mathematics
- Let the hyperbola H: ( x 2/ a 2)-(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?
Q. Let the hyperbola pass through the point . A parabola is drawn whose focus is same as the focus of with positive abscissa and the directrix of the parabola passes through the other focus of . If the length of the latus rectum of the parabola is e times the length of the latus rectum of , where e is the eccentricity of , then which of the following points lies on the parabola?
Solution: