Let the shortest distance from (a, 0), where a > 0, to the parabo… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 23 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let the shortest distance from $(a, 0)$ , where $a > 0$ , to the parabola $y^2 = 4x$ be $4$ . Then the equation of the circle passing through the point $(a, 0)$ and the focus of the parabola, and having its center on the axis of the parabola is:

A
$x^2 + y^2 - 6x + 5 = 0$
B
$x^2 + y^2 - 4x + 3 = 0$
C
$x^2 + y^2 - 10x + 9 = 0$
D
$x^2 + y^2 - 8x + 7 = 0$

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