Question

If $(-g,-f)$ is the coordinate of center circle and it follows the relation $2g+2f+5=0$, then the locus of its Centre of the circle is $2x+2y+5=0$

• A. True
• B. False

Answer 1

The correct option is B

False

Since, center of the circle follows the relation $2g+2f+5=0$

To generalize the locus of center $(-g,-f)$, we can replace g by $(-x)$ and f by $(-y)$

Locus of the center of the circle is

$2(-x)+2(-y)+5=0$

$2x+2y=5$

So, given statement is wrong.