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JEE Main 2022 · 28 Jun · Shift 2, Mathematics question 15

If vertex of a parabola is (2,−1)(2,-1) and the equation of its directrix is 4x−3y=214x-3y=21, then the length of its latus rectum is :

Choose one option
Answer and worked solution

Official answer: B

Vertex to directrix. a=∣8+3−21∣5=2a=\dfrac{|8+3-21|}5=2.

Latus rectum 4a=84a=8.

(B)

Topics:ParabolaDistance of a point from a line
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