The foci of an ellipse are and

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The foci of an ellipse are

F_{1}(-2,0)

and

F_{2}(2,0)

. A point

S(x,3)

lies in the first quadrant and the sum of its distances from the foci is

10

. Which of the following values of

x

satisfies this condition? (a) 4 (b)

\dfrac{10}{\sqrt 7}

(c)

\dfrac{4\sqrt{21}}{5}

(d)

\dfrac{5}{\sqrt 7}