Find the equation of the hyperbola whose

vertices are at (0. ± 7) and foci at

Given: Vertices are (0, ± 7) and foci are

To find: equation of the hyperbola

Formula used:

The standard form of the equation of the hyperbola is,

Vertices of the hyperbola are given by (0, ±b)

Foci of the hyperbola are given by (0, ±be)

Vertices are (0, ±7) and foci are

Therefore,

a² = b²(e² – 1)

The equation of hyperbola:

⇒ 9x² – 7y² = -343

⇒ 9x² – 7y² + 343 = 0

Hence, required equation of hyperbola is 9x² – 7y² + 343 = 0