In which situation does the graphical method give no solution for a pair of linear equations?
Answer and explanation
Correct answer: When the two lines are distinct and parallel
Distinct parallel lines never intersect, so they have no common point and the pair of equations has no solution. Coincident lines have infinitely many solutions, while intersecting lines have one unique solution. Exam tip: lines with the same slope but different intercepts represent no solution.
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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?
Distinct parallel lines never intersect, so they have no common point and the pair of equations has no solution. Coincident lines have infinitely many solutions, while intersecting lines have one unique solution. Exam tip: lines with the same slope but different intercepts represent no solution.
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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