If line y = 2x + c is a tangent to the hyperbola x^2/a^2 - y^2/b^2 = 1. whose eccentricity and latus rectum are √5/2 and 6√2 respectively, - Sarthaks eConnect

If line y = 2x + c is a tangent to the hyperbola x²/a² - y²/b² = 1. whose eccentricity and latus rectum are √5/2 and 6√2 respectively, then the value of C² is

(1) 2√5

(2) 20

(3) 24

(4) 16

If line y = 2x + c is a tangent to the hyperbola x^2/a^2 - y^2/b^2 = 1. whose eccentricity and latus rectum are √5/2 and 6√2 respectively,

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