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(i)For intersecting lines,
where a, b, c can have any value which satisfy the above equation
Let a=3, b=2 and c= 4
and give unique solutions and their geographic representation shows intersecting points.
(ii) For parallel lines,
where a, b, c can have any value which satisfy the above equation.
Let a=2, b=3 and c= 4
the equation has no solution and the geometrical representation shows parallel lines.
(iii) For coincident lines,
where a, b, c can have any value which satisfy the above equation
Let a=4, b=6 and c= 16
the required equation will be
the equation has infinitely many solutions and their geographical representation shows coincident lines.
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