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JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

The vertex of a parabola is and the directrix is . The equation of the parabola is

Answer: (B)

Solution

Foot of perpendicular from to :

==-=a ⇒ Z=(2a, a).

Focus .

By the focus–directrix property, :

+(y+=

++4ay+ = ++2xy-6ax-6ay+9

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Question ID VK-108989