Question

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

• A. $8\sqrt2$
• B. $4\sqrt2$
• C. $16\sqrt{2}$
• D. None of these

Answer 1

Answer: (B)

$4\sqrt2$

Answer 2

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