Let the eccentricity of the hyperbola … be … and length of its latus rectum be …. If … is a tangent to the hyperbola H, then the value of c² is equal to :

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Hyperbola

JEE Main 2022 · 28 Jun, Morning shift · Q3991

MathematicsEasy57×since 2003Q3991

Let the eccentricity of the hyperbola

H:{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1

\sqrt {{5 \over 2}}

and length of its latus rectum be

6\sqrt 2

. If

y = 2x + c

is a tangent to the hyperbola H, then the value of c² is equal to :