If a pair of linear equations in two variables is consistent, then the lines represented by two equations are

Options

A. parallel
B. always coincident
C. intersecting or coincident
D. always intersecting

Answer

C

Explanation

Condition for a consistent pair of linear equations
`" " (a_(1))/(a_(2)) != (b_(1))/(b_(2)) " " ` [intersecting lines having unique solution]
and `" " (a_(1))/(a_(2))=(b_(1))/(b_(2)) = (c_(1))/(c_(2)) " "` [coincident or dependent]