Question

Let $P$ be a variable point on the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ with focii at $S$ and $S^{\prime}$. If $A$ be the area of triangle PSS', then the maximum value of $A$ is

• A. 24 sq. units
• B. $ 12$ sq. units
• C. 36 sq. units
• D. none of these

Answer 1

Answer: (B)

Max. area $=\frac{1}{2} \times 2 ae \times b =\frac{1}{2} \times 2 \times 3 \times 4=12$