If the lines of two equations meet at one point, what is the pair called?
Answer and explanation
Correct answer: Consistent and independent
When two lines intersect at exactly one point, they have one common solution. Therefore, the pair is called consistent and independent. An inconsistent pair has no solution, whereas dependent or coincident lines have infinitely many solutions. Exam tip: one point of intersection means one unique solution and hence a consistent independent pair.
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, they have one common solution. Therefore, the pair is called consistent and independent. An inconsistent pair has no solution, whereas dependent or coincident lines have infinitely many solutions. Exam tip: one point of intersection 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: Conditions for solvability.
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