If two lines have different slopes, what will be the solution status of the pair?
Answer and explanation
Correct answer: One unique solution
When two lines have different slopes, they cannot be parallel or coincident. Hence, they intersect at exactly one point, giving the pair of linear equations one unique solution. Therefore, option C is correct. Option A represents parallel lines, while option B represents coincident lines. Exam tip: different slopes always indicate a 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 cannot be parallel or coincident. Hence, they intersect at exactly one point, giving the pair of linear equations one unique solution. Therefore, option C is correct. Option A represents parallel lines, while option B represents coincident lines. Exam tip: different slopes always indicate a 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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