If the graphs of two linear equations are distinct parallel lines that never intersect, how many solutions will the pair have?
Answer and explanation
Correct answer: No solution
Two distinct parallel lines have no common point. Since a common point on the graph represents a solution of the pair, such a pair has no solution and is called an inconsistent pair. Exam tip: intersecting lines give one solution, coincident lines give infinitely many solutions, and distinct parallel lines give no solution.
Frequently asked questions
What is the correct answer to this question?
No solution
Why is this the correct answer?
Two distinct parallel lines have no common point. Since a common point on the graph represents a solution of the pair, such a pair has no solution and is called an inconsistent pair. Exam tip: intersecting lines give one solution, coincident lines give infinitely many solutions, and distinct parallel lines give 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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