Q22 of 63 Page 202

Find the equation of the hyperbola with eccentricity 3/2 and foci at (± 2, 0).


Foci = (± ae,0) = (± 2, 0)


the hyperbola lies on x – axis,


Equation is


ae = 2 (given)




b2 = a2 (e2 - 1)




Equation is



Hence, the required equation is


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