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

Question:

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

(a) intersecting
(b) parallel
(c) always coincident
(d) intersecting or coincident

Solution:

If a pair of linear equations in two variables is consistent, then its solution exists.

$\therefore$ The lines represented by the equations are either intersecting or coincident.

Hence, correct choice is $d$.