gaokao 2020 Q5

gaokao · China · national-II-science 5 marks Circles Distance from Center to Line
If a circle passing through point $(2,1)$ is tangent to both coordinate axes, then the distance from the center of the circle to the line $2 x - y - 3 = 0$ is
A.$\frac { \sqrt { 5 } } { 5 }$
B.$\frac { 2 \sqrt { 5 } } { 5 }$
C.$\frac { 3 \sqrt { 5 } } { 5 }$
D.$\frac { 4 \sqrt { 5 } } { 5 }$
If a circle passing through point $(2,1)$ is tangent to both coordinate axes, then the distance from the center of the circle to the line $2 x - y - 3 = 0$ is

A.$\frac { \sqrt { 5 } } { 5 }$

B.$\frac { 2 \sqrt { 5 } } { 5 }$

C.$\frac { 3 \sqrt { 5 } } { 5 }$

D.$\frac { 4 \sqrt { 5 } } { 5 }$