Find eccentricity of hyperbola having latus rectum 8
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Lenth of latus rectum =2b^2/a=8, b^2 =4a
Eccentricity of hyperbola = (1+b^2/a^2) ^1/2=3/5^1/2 = a=5, a^2=25, b^2 = 20 hence equation of hyperbola x^2/25 - y^2/20= 1
Explanation:
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