defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Parabola, Ellipse and Hyperbola Tangents and Normals to Conics
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:
1
x2 + y2 - 6x + 5 = 0
2
x2 + y2 - 4x + 3 = 0
3
x2 + y2 - 10x + 9 = 0
4
x2 + y2 - 8x + 7 = 0