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Let the eccentricity of the hyperbola H ...

Let the eccentricity of the hyperbola `H : (x^2)/(a^2)-(y^2)/(b^2) = 1` be `sqrt(5/2)` and length of its latus rectum be `6sqrt2`. If y=2x+c is a tangent to the-hyperbola H. then the value of `c^2` is equal to

A

18

B

20

C

24

D

32

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