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  4. The maximum number of points on the parabola y2=16x which are equidistant from a variable point P (which lie inside the parabola) are

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Q. The maximum number of points on the parabola $y^{2}=16x$ which are equidistant from a variable point $P$ (which lie inside the parabola) are

NTA AbhyasNTA Abhyas 2022

Solution:

The maximum number of points on the parabola will be obtained when they are intersection point with a circle.
A circle can intersect a parabola at maximum $4$ points
Solution