In the graphical method, if two lines intersect at exactly one point, what type of pair of linear equations is it?
Answer and explanation
Correct answer: Consistent and independent
A single common point means that the pair has exactly one unique solution. Therefore, it is consistent and independent. In an inconsistent pair, the lines are parallel and have no solution, whereas a consistent dependent pair has coincident lines and infinitely many solutions. Exam tip: one point of intersection means one unique solution, so the pair is consistent and independent.
Frequently asked questions
What is the correct answer to this question?
Consistent and independent
Why is this the correct answer?
A single common point means that the pair has exactly one unique solution. Therefore, it is consistent and independent. In an inconsistent pair, the lines are parallel and have no solution, whereas a consistent dependent pair has coincident lines and infinitely many solutions. Exam tip: one point of intersection means one unique solution, so the pair is consistent and independent.
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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