Solution: Find the equation of the hyperbola given the asymptotes and passes through a point

Find the equation of the hyperbola whose asymptotes are y = ± 2x and which passes through (5/2, 3). How to find the equation of the hyperbola?

Find the equation of the hyperbola whose asymptotes are y = ± 2x and which passes through (5/2, 3).

Problem Statement: EE Board April 1994

Find the equation of the hyperbola whose asymptotes are y = ± 2x and which passes through (5/2, 3).

Problem Answer:

The equation of the hyperbola is 4x^2 – y^2 = 16 .

Solution:

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