Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaChordsMedium2 minQB

MathematicsMediuminteger

If AFB is a focal chord of the parabola $y^{2} = 4 ax$ and $AF = 3, FB = 6$ , then the latus-rectum of the parabola is equal to

Answer:

Solution:

$\frac{1}{AF} + \frac{1}{FB} = \frac{1}{a}$ $\Rightarrow \frac{1}{a} = \frac{1}{3} + \frac{1}{6} = \frac{1}{2} \Rightarrow a = 2 \Rightarrow LR = 8$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Chords

⏱ 2mℹ️ Source: QB

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