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Conic Sections: JEE Mains 2022 June 29 Shift 1

Medium· Hyperbola· +4 / 0

Let

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

,

a>0

,

b>0

, be a hyperbola such that the sum of lengths of the transverse and the conjugate axes is

4(2\sqrt2+\sqrt{14})

. If the eccentricity of

H

is

\dfrac{\sqrt{11}}{2}

, then the value of

a^2+b^2

is equal to ______.

Your answer (numerical)

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