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Conic Sections: JEE Mains 2022, June 28 - Shift 1

Hard· Hyperbola· +4 / −1

For the hyperbola

\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1

, the eccentricity is

e=\sqrt{\dfrac52}

and the length of the latus rectum is

6\sqrt2

. If

y=2x+c

is a tangent to the hyperbola, find

c

.

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