Question

Number of different circles that can be drawn touching $3$ lines, no two of which are parallel and they are neither coincident nor concurrent, are-

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is D $4$

If three lines are given such that no two of them are parallel and they are not concurrent then a definite triangle is formed by them. There are four circles which touch sides of a triangle ($3$-excircles and $1$-incircle)