Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralEasy2 minPYQ_2023

MathematicsEasysingle choice

If vertex of a parabola is $(2, - 1)$ and the equation of its directrix is $4 x - 3 y = 21$ , then the length of its latus rectum is

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Solution:

We are given that directrix of the parabola is $4 x - 3 y = 21$ and vertex of the parabola is $(2, - 1)$
Now $a = \frac{∣8 + 3 - 21∣}{5} = \frac{10}{5} = 2$
$∴$ latus rectum of the parabola $= 4 a = 8$

Stream:BITSATSubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 2mℹ️ Source: PYQ_2023

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