Question

The equation of the circle of radius 5 and touching the coordinate axes in third quadrant is

• A. $(x-5{)}^2+(y+5{)}^2=25$
• B. $(x+4{)}^2+(y+4{)}^2=25$
• C. $(x-6{)}^2+(y+6{)}^2=25$
• D. $(x+5{)}^2+(y+5{)}^2=25$

Answer 1

The correct option is D $(x+5{)}^2+(y+5{)}^2=25$

Since circle touches the co-ordinate axes in III quadrant.

$\therefore$ Radius = -h = -k. Hence h = k = -5
$\therefore$ Equation of circle is $(x+5{)}^2+(y+5{)}^2=25.$