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Why should we take only 2 solutions for parallel lines in a graph? Or can we take 3 solutions also? And how will we get to by seeing the equation whether it will form parallel lines or intersecting lines or coincident lines?

Posted by Samruddhi Br 5 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

Tercy James 5 years, 5 months ago

We just need to get a line which can be possible with two solutions also. If a1=a2 and b1=b2 but c1 is not equal to c2 then the pair of linear equations in two variables will have no solution i.e., we'll get parallel lines.

Deepa Kumari 5 years, 5 months ago

On seeing both equations we will find that both are multiple of one another. For example ,4x+ 3y =7and 8x+6y = 14

Study Lover ?‍? ?‍? 5 years, 5 months ago

3 solutions can be taken. Let the given equation system be 1.ax+by+c=o 2.a'x+b'y+c'=0 If a/a' is not equal to b/b'. Then,lines intersect at one point. If a/a'=b/b'=c/c' Then,lines are parallel. If a/a'=b/b' €c/c'. {€=not equal} Then,lines don't intersect.

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