The foci of a hyperbola are and

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

Problem

The foci of a hyperbola are

F_{1}(-5,0)

and

F_{2}(5,0)

, and the constant difference of the distances from any point on the curve to the foci is

6

. Which of the following is its equation? (a)

\dfrac{y^{2}}{9}-\dfrac{x^{2}}{16}=1

(b)

\dfrac{x^{2}}{25}-\dfrac{y^{2}}{9}=1

(c)

\dfrac{x^{2}}{9}-\dfrac{y^{2}}{16}=1

(d)

\dfrac{x^{2}}{9}-\dfrac{y^{2}}{25}=1