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Mathematics - Hyperbola Question with Solution | TestHub

MathematicsHyperbolaGeneralMedium2 minQB

MathematicsMediumsingle choice

With $H$ as in Q16, let $E : x^{2} /16 + y^{2} / β^{2} = 1$ cut $H$ orthogonally. Find $β$ .

Options:

Answer:

Solution:

Orthogonal confocal conics have the same foci. The source construction gives the foci of $H$ as $(\pm 22, 0)$ , so for $E$ , $16 - β^{2} = 8$ and $β = 22$ .

Stream:JEESubject:MathematicsTopic:HyperbolaSubtopic:General

⏱ 2mℹ️ Source: QB

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