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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 a unique solution
It has no solution (inconsistent)
It has infinitely many solutions
The lines are perpendicular
Question Figure

Step-by-Step Solution

Key Concept: Two distinct parallel lines (never meeting) represent an inconsistent system with no solution.
The two lines are parallel and never intersect, so the system has no solution — it is inconsistent. [1.0 Mark]

Correct Answer: It has no solution (inconsistent)
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