The hyperbola x^2/a^2 - y^2/b^2 = 1 passes through point of intersection of the lines x − 3 \sqrt5 y = 0 and \sqrt5x - 2y = 13 the length of its latus rectum is 4/3 units, then the value of 9e^2 s equal to (where e is the eccentricity)

JEE Mains Model Paper 6

Question : 26 of 90

Marks: +1, -0

The hyperbola

−

= 1 passes through point of intersection of the lines x − 3 √5 y = 0 and √5x - 2y = 13 the length of its latus rectum is

units, then the value of 9e2 s equal to (where e is the eccentricity)

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