Circle through Parabola Focus (JEE Mains) | ExamDuo
Equation of circle using endpoints of a diameterHard
Circle through Parabola Focus
Let the shortest distance from (a, 0), a > 0, to the parabola y2 = 4x 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: