QJEEM22Ma3e8b: JEE Main 2022 Mathematics - Class 11 JEEM22Ma3e8b Solution: If vertex of a parabola is (2, − 1) and the equation of its…

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

Accepted Answer

Vertex of Parabola : (2, $-$ 1)

and directrix : 4x $-$ 3y = 21

Distance of vertex from the directrix

$a = | \frac{8 + 3 - 21}{\sqrt{25}} | = 2$

$∴$ length of latus rectum = 4a = 8

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