Circle And System Of Circles Question 46

Question: The locus of the centre of a circle which passes through the point (a, 0) and touches the line $ x+1=0 $ , is

Options:

A) Circle

B) Ellipse

C) Parabola

D) Hyperbola

Show Answer

Answer:

Correct Answer: C

Solution:

The locus is a parabola as distance of centre from straight line = its distance from point (a, 0).