When does a pair of linear equations have no solution by the graphical method?
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Answer and explanation
Correct answer: When the two lines are distinct and parallel
Distinct parallel lines never meet, so there is no common point and hence no solution. Check \(a_1/a_2=b_1/b_2\ne c_1/c_2\). Exam tip: equal slopes with different intercepts indicate parallel lines.
Frequently asked questions
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 meet, so there is no common point and hence no solution. Check \(a_1/a_2=b_1/b_2\ne c_1/c_2\). Exam tip: equal slopes with different intercepts indicate parallel lines.
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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