Question

How many common tangents can be drawn for two externally touching circles?

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is B 3

$\Rightarrow$ In figure there are two circles touching externally with center $M$ and $N.$

$\Rightarrow$ The one tangent will be at the point of touching where the two circles are touching each other.

$\Rightarrow$ The second tangent will be at the bottom which will touch both the circle.

$\Rightarrow$ The third tangent will be at the top which will also passes by touching both the circles.

$\Rightarrow$ There are $3$ common tangents can be drawn for two externally touching circles.