Let the point

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

Problem

Let the point

R(k,2)

, with

k>0

, lie on the ellipse

\frac{x^{2}}{16}+\frac{y^{2}}{9}=1.

The value of

k

is (a)

\dfrac{2\sqrt5}{3}

(b)

\dfrac{4\sqrt7}{3}

(c)

\dfrac{4\sqrt5}{3}

(d)

\dfrac{4\sqrt3}{3}