When does a pair of linear equations in two variables have no solution by the graphical method?
Answer and explanation
Correct answer: When the two lines are distinct and parallel
In the graphical method, a solution is represented by a common point of the two lines. Distinct parallel lines never intersect, so they have no common point and the pair has no solution. Lines intersecting at one point give one solution, whereas coincident lines have infinitely many solutions. Exam tip: distinct parallel lines represent an inconsistent pair.
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What is the correct answer to this question?
When the two lines are distinct and parallel
Why is this the correct answer?
In the graphical method, a solution is represented by a common point of the two lines. Distinct parallel lines never intersect, so they have no common point and the pair has no solution. Lines intersecting at one point give one solution, whereas coincident lines have infinitely many solutions. Exam tip: distinct parallel lines represent an inconsistent pair.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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