If two lines have different slopes, how many solutions will there be?
Answer and explanation
Correct answer: One unique solution
When two lines have different slopes, they are not parallel and intersect at exactly one point. The coordinates of this intersection satisfy both linear equations, so the pair has exactly one unique solution. Option B applies to distinct parallel lines with equal slopes. Exam tip: different slopes imply one unique solution.
Frequently asked questions
What is the correct answer to this question?
One unique solution
Why is this the correct answer?
When two lines have different slopes, they are not parallel and intersect at exactly one point. The coordinates of this intersection satisfy both linear equations, so the pair has exactly one unique solution. Option B applies to distinct parallel lines with equal slopes. Exam tip: different slopes imply one unique 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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