Question

The equation of the circle which touches both axis and whose centre is $x_1,y_1$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

It touches both the circles , so $x_1=y_1=r$
Equation of the circle
$(x-x_1{)}^2+(y-y_1{)}^2=x_1^2$
$x^2+y^2-2x_1(x+y)+x_1^2=0$