Question

Question 3
If a pair of linear equations is consistent, then the lines will be
(A) parallel
(B) always coincident
(C) intersecting or coincident
(D) always intersecting

Answer 1

Condition for a consistent pair of linear equations.
$\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$ [intersecting lines having unique solution]
and $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ [coincident or dependent]

The required answer is therefore (C)