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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 (inconsistent)
It has a unique solution (consistent)
It has infinitely many solutions (dependent)
It cannot be determined from a graph
It has no solution (inconsistent)
It has a unique solution (consistent)
It has infinitely many solutions (dependent)
It cannot be determined from a graph
Step-by-Step Solution
Key Concept: Two lines intersecting at exactly one point represent a consistent system with a unique solution.
The two lines intersect at exactly one point, $(3,2)$, so the system is consistent with a unique solution. [1.0 Mark]
Correct Answer: It has a unique solution (consistent)
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