Question
Question: The locus of the centre of a circle which passes through the point (a, 0) and touches the line \(x +...
The locus of the centre of a circle which passes through the point (a, 0) and touches the line x+1=0, is.
A
Circle
B
Ellipse
C
Parabola
D
Hyperbola
Answer
Parabola
Explanation
Solution
The locus is a parabola as distance of centre from straight line = its distance from point (a, 0).