If two lines appear distinct and parallel in a graph then what is the pair called?
Answer and explanation
Correct answer: Inconsistent
Distinct parallel lines never intersect, so they have no common point and no common solution. Therefore, the pair is called inconsistent. In contrast, coincident lines have infinitely many solutions. Exam tip: intersecting lines indicate one solution, coincident lines indicate infinitely many solutions, and distinct parallel lines indicate no solution.
Frequently asked questions
What is the correct answer to this question?
Inconsistent
Why is this the correct answer?
Distinct parallel lines never intersect, so they have no common point and no common solution. Therefore, the pair is called inconsistent. In contrast, coincident lines have infinitely many solutions. Exam tip: intersecting lines indicate one solution, coincident lines indicate infinitely many solutions, and distinct parallel lines indicate no solution.
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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