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If two lines intersect at exactly one point on a graph, what is the pair of linear equations called?

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Answer and explanation

Correct answer: Consistent and independent

When two lines intersect at exactly one point, the pair has one unique solution. Therefore, it is called a consistent and independent pair. In contrast, parallel lines form an inconsistent pair, while coincident lines form a consistent and dependent pair. Exam tip: one intersection point means one unique solution and hence a consistent, independent pair.

Related tags

Pair Of Linear EquationsGraphical MethodUnique SolutionConsistent Independent

Frequently asked questions

What is the correct answer to this question?

Consistent and independent

Why is this the correct answer?

When two lines intersect at exactly one point, the pair has one unique solution. Therefore, it is called a consistent and independent pair. In contrast, parallel lines form an inconsistent pair, while coincident lines form a consistent and dependent pair. Exam tip: one intersection point means one unique solution and hence a consistent, independent 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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