Question

The sum of distances of any point on the ellipse $3x^2+4y^2=24$ from its foci is

• A. $8\sqrt{2}$
• B. $4\sqrt{2}$
• C. $16\sqrt{2}$
• D. None of these

Answer 1

Answer: (B)

Ellipse is $\frac{x^2}{8}+\frac{y^2}{6}=1$.
Here $a^2=8$
$\Rightarrow a=2\sqrt{2}$
sum of focal distances $=2a=4\sqrt{2}$