Find the equation of the hyperbola referred to its principal axes: Wh – InterviewSolution

1.

Find the equation of the hyperbola referred to its principal axes: Whose foci are at (±2, 0) and eccentricity is 3/2

Answer»

Let the required equation of hyperbola be \(\frac{x^2}{a^2} - \frac {y^2}{b^2} = 1\)……(i)

Given, eccentricity (e) = 3/2

Co-ordinates of foci are (±ae, 0).

Given co-ordinates of foci are (±2, 0) ae = 2

⇒ a(3/2) =2

⇒ a = 4/3

⇒ a² = 16/9

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