If the foci of the ellipse and the hyperbola coincide, write the value of b 2

Question

Philoid · Accepted Answer

To find: value of b²

Given: foci of given ellipse and hyperbola coincide

Formula used:

Coordinates of the foci for standard ellipse is given by (±c₁, 0) where

Coordinates of the foci for standard hyperbola is given by (±c₂, 0) where

Since, their foci coincide

Here a₁ = 4, b₁ = b,

⇒ b² = 16 – 9

⇒ b² = 7

If the foci of the ellipse and the hyperbola coincide, write the value of b2