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 -

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

Tardigrade Admin · Accepted Answer

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).

Q. 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 -

1

2

3

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).