Q38 / 92 · NTA Abhyas (JEE Main) 2020 · Mathematics · Parabola
The maximum number of points on the parabola which are equidistant from a variable point (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 points

A circle can intersect a parabola at maximum points

Hence, the correct answer is 4.