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Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralEasy2 minPYQ_2024

MathematicsEasynumerical

Suppose $A B$ is a focal chord of the parabola $y^{2} = 12 x$ of length $l$ and slope $m < 3$ . If the distance of the chord $AB$ from the origin is $d$ , then $l d^{2}$ is equal to _______

Question diagram: Suppose A B is a focal chord of the parabola y 2 = 12 x of l

Answer:

108.00

Solution:

$ℓ = 4 a cosec^{2} θ ℓ = 12 \times \frac{9}{d ^{2}} ℓ d^{2} = 108$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 2mℹ️ Source: PYQ_2024

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