Question

If vertices of the ellipse $9 x^2+25 y^2-18 x+100 y-116=0$ are the extremities of latus rectum of a parabola whose vertex is $\left(x_1, y_1\right)$ where $y_1>-2$, then

• A. length of latus rectum of the ellipse is $\frac{50}{3}$.
• B. directrix of the parabola is $y-3=0$.
• C. smaller area enclosed by the parabola and the ellipse is $\frac{5}{6}(9 \pi-20)$ sq. units.
• D. smaller area enclosed by the parabola and the ellipse is $\frac{5}{6}(9 \pi-10)$ sq. units.

Answer 1

Answer: (B), (C)

Correct answer is (b) directrix of the parabola is $y-3=0$.Correct answer is (c) smaller area enclosed by the parabola and the ellipse is $\frac{5}{6}(9 \pi-20)$ sq. units.