Question

A circle of radius $2$ is touching both the axes and a circle with center $(6,5)$. The distance between their centers is

• A. 8 units
• B. 5 units
• C. 7 units
• D. None of these

Answer 1

Answer: (B)

Radius of smaller circle is $r=2cm$.
Since, it is touching both the axes, so its center is $(2,2)$.

The distance between their centers
$=r+R=\sqrt{(5-2{)}^2+(6-2{)}^2}$
$=\sqrt{3^2+4^2}=\sqrt{25}=5$ units