If a pair of linear equations are consistent then the lines are

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Parallel

Always consistent

Intersecting or coincident

Always intersecting

answer is C.

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Detailed Solution

We are asked to find if a pair of linear equations are consistent then what will be the lines called.
A pair of linear equation of two variables x and y is represented as the general form:

a_{1} x + b_{1} y + c_{1} = 0 and a_{2} x + b_{2} y + c_{2} = 0, where a_{1}, a_{2}, b_{1}, b_{2}, c_{1}, c_{2} are constants .

The graph of the linear equation is always a straight line.
Since it is consistent, the lines have a solution.
Thus, the graph of a pair of linear equations can either intersect at a point or be coincident.
So, the correct option is 3.

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Best Online Course for CBSE