Question

A circle of radius $2$ is touching both the axis and a circle with centre $(6,5)$. The distance between their centres is

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

Answer 1

The correct option is B $5$ units

Radius of smaller circle is $r=2$ cm
Since, it is touching both the axes, so its centre is $(2,2)$.
The distance between their centres
$=r+R=\sqrt{(5-2{)}^2+(6-2{)}^2}$
$=\sqrt{3^2+4^2}=\sqrt{25}=5$ units