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# Choose the correct answer from the given four options:

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

Given:

A pair of linear equations is consistent.

To do:

We have to find the correct option.

Solution:

If a pair of linear equations is consistent, then it has a unique solution or infinite solutions.

For unique solution, the lines will be intersecting each other.

The required condition is,

$\frac{a_1}{a_2}≠\frac{b_1}{b_2}$

For infinite solutions, the lines will be coincident.

The required condition is,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

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