Let P be a variable point on the ellipse (x2/25)+(y2/16)=1 with focii at S and S prime. If A be the area of triangle PSS', then the maximum value of A is

Question

Let P be a variable point on the ellipse (x2/25)+(y2/16)=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

Tardigrade Admin · Accepted Answer

Max. area =(1/2) × 2 ae × b =(1/2) × 2 × 3 × 4=12

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

24 sq. units

$12$ sq. units

36 sq. units

none of these

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

Q. Let P be a variable point on the ellipse 25x2​+16y2​=1 with focii at S and S′. If A be the area of triangle PSS', then the maximum value of A is