Question

The locus of the centre of a circle which always passes through the fixed points (a, 0) and $( - a , 0 )$, is.

• A. $x = 1$
• B. $x + y = 6$
• C. $x + y = 2 a$
• D. $x = 0$

Answer 1

Answer: (D)

$x = 0$

Answer 2

Perpendicular bisector of join of the two points

$( a , 0 )$ and $( - a , 0 )$ i.e., $x = 0$ .