If two lines are distinct and parallel, how many solutions will the pair of linear equations have according to the graphical method?
Answer and explanation
Correct answer: No solution
Distinct parallel lines never intersect, so they have no common point and the pair of linear equations has no solution. In contrast, intersecting lines give one solution, while coincident lines give infinitely many solutions. Exam tip: distinct parallel lines represent an inconsistent pair of equations.
Frequently asked questions
What is the correct answer to this question?
No solution
Why is this the correct answer?
Distinct parallel lines never intersect, so they have no common point and the pair of linear equations has no solution. In contrast, intersecting lines give one solution, while coincident lines give infinitely many solutions. Exam tip: distinct parallel lines represent an inconsistent pair of equations.
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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