Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaMiscellaneous/MixedEasy2 minQB

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If AFB is a focal chord of the parabola $y^{2} = 4 a x$ and $A F = 4, FB = 5$ then the latus-rectum of the parabola is equal to

Answer:

Solution:

$FA = 4, FB = 5$

We know that $\frac{1}{a} = \frac{1}{A F} + \frac{1}{FB}$

$\Rightarrow a = \frac{20}{9} \Rightarrow 4 a = \frac{80}{9}$ ,

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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