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Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
The graph of a pair of linear equations is shown below. What can you conclude about the system?
It has no solution
It has a unique solution
It has infinitely many solutions (the lines coincide)
The lines are perpendicular
It has no solution
It has a unique solution
It has infinitely many solutions (the lines coincide)
The lines are perpendicular
Step-by-Step Solution
Key Concept: Two lines that lie exactly on top of each other (coincident) represent a dependent, consistent system with infinitely many solutions.
The two lines coincide completely (every point on one line is also on the other), so the system has infinitely many solutions. [1.0 Mark]
Correct Answer: It has infinitely many solutions (the lines coincide)
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