In the graphical method, if two lines have no common point, what is the pair of equations called?
Answer and explanation
Correct answer: Inconsistent pair
If two lines have no common point, they are distinct parallel lines, so the pair of equations has no solution. Such a pair is called inconsistent. In contrast, a dependent pair represents coincident lines and has infinitely many solutions. Exam tip: No point of intersection on the graph means an inconsistent pair.
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What is the correct answer to this question?
Inconsistent pair
Why is this the correct answer?
If two lines have no common point, they are distinct parallel lines, so the pair of equations has no solution. Such a pair is called inconsistent. In contrast, a dependent pair represents coincident lines and has infinitely many solutions. Exam tip: No point of intersection on the graph means 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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