Question

In the pair of linear equation a1x +b1y +c1=0 and a2x +b2y +C2=0 if a1/a2 is not equal to b1/b2 then what will be the equation

Answer 1

Given : pair of linear equation a1x +b1y +c1=0 and a2x +b2y +C2=0 . a1/a2 ≠  b1/b2

To find : what will be the pair of linear equation

Solution:

a1x +b1y +c1=0

a2x +b2y +C2=0

a1/a2 ≠  b1/b2

then System is called consistent and have a unique Solution

Lines intersect each other at unique point

Additional info :

a1/a2 =  b1/b2 = c1/c2

then Consistent ( infinite solution )  as both Equation represent same line

a1/a2 =  b1/b2 ≠ c1/c2

Inconsistent ( no Solution )

as Lines are parallel and never intersect each other

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