Question

Find the equation of the hyperbola satisfying the give conditions: Foci (0,± √10), passing through (2, 3)

Answer 1

Foci (0,± √10), passing through (2, 3)
Here, the foci are on the y-axis.
Therefore, the equation of the hyperbola is of the form Y²/a² - X²/b² =1.

We know that a² + b² = c².
∴ a² + b² = 10
⇒ b² = 10 – a² … (1)
Since the hyperbola passes through point (2, 3),