In which case is a pair of two linear equations called inconsistent?
Answer and explanation
Correct answer: When there is no solution
An inconsistent pair has no common solution for the two linear equations. Graphically, the two lines are distinct and parallel. One solution occurs when the lines intersect at one point, while infinitely many solutions occur when the lines coincide. A pair of linear equations cannot have exactly two solutions. Exam tip: remember that inconsistent always means “no solution.”
Frequently asked questions
What is the correct answer to this question?
When there is no solution
Why is this the correct answer?
An inconsistent pair has no common solution for the two linear equations. Graphically, the two lines are distinct and parallel. One solution occurs when the lines intersect at one point, while infinitely many solutions occur when the lines coincide. A pair of linear equations cannot have exactly two solutions. Exam tip: remember that inconsistent always means “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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