JEE Main 2025 Mathematics question

MathematicsParabolaJEE Main 2025

Let the shortest distance from (a, 0), a > 0, to the parabola be 4. Then the equation of the circle passing through the point (a, 0) and the focus of the parabola, and having its centre on the axis of the parabola is:

Answer: (1)

Solution

Using normal condition, ; circle through (1,0) and (5,0) as diameter endpoints gives .

Question ID VK-001830