Mathematics - Hyperbola Question with Solution | TestHub

MathematicsHyperbolaGeneralEasy2 minPYQ_2025

MathematicsEasysingle choice

Let the foci of a hyperbola be $(1, 14)$ and $(1, - 12)$ . If it passes through the point $(1, 6)$ , then the length of its latus-rectum is :

Options:

Answer:

Solution:

$be = 13, b = 5 a^{2} = b^{2} (e^{2} - 1) = b^{2} e^{2} - b^{2} = 169 - 25 = 144 ℓ (LR) = \frac{2 a ^{2}}{b} = \frac{2 \times 144}{5} = \frac{288}{5}$

Stream:JEESubject:MathematicsTopic:HyperbolaSubtopic:General

⏱ 2mℹ️ Source: PYQ_2025

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