Q38 / 92 · NTA Abhyas (JEE Main) 2020 · Mathematics · Parabola

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

Correct answer: 4

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
Figure

Hence, the correct answer is 4.

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