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JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

The locus of the midpoint of the line segment joining the focus to a moving point on the parabola is another parabola with the directrix

Answer: (C)

Solution

The focus is and a moving point is . The midpoint is

α = , β = at ⇒ 2α = + a ⇒ β^2 =

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Question ID VK-110600