Question

If a pair of linear equations is consistent, then the lines will be ______.

Options

• Parallel

• Always coincident

• Intersecting or coincident

• Always intersecting

Answer 1

If a pair of linear equations is consistent, then the lines will be intersecting or coincident.

Explanation:

Condition for a pair of linear equations to be consistent are:

Intersecting lines having unique solution,

`a_1/a_2 ≠ b_1/b_2`

Coincident or dependent

`a_1/a_2 = b_1/b_2 = c_1/c_2`