JEE Advanced Mathematics question

MathematicsParabolaJEE Advanced

A chord PP′ of a parabola cuts the axis of the parabola at O. The feet of the perpendiculars from P and P′ on the axis are M and M′ respectively. If V is the vertex then VM, VO, VM′ are in

Answer: (B)

Solution

Let the parabola be , , , .

*(Figure: parabola with vertex V; chord PP′ crossing the axis at O; M and M′ are the feet of the perpendiculars from P and P′ on the axis.)*

Then , , $V

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Question ID VK-109051