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Pair of Linear Equations in Two Variables
RD Sharma
CBSE
Grade 10

Question:

If a pair of linear equations is consistent, then the lines will be:
(a) Parallel
(b) Always coincident
(c) Intersecting or coincident
(d) Always intersecting

Step-by-Step Solution

Key Concept: Consistency means at least one solution exists (unique for intersecting, infinite for coincident).
Consistent systems have either a unique solution (intersecting) or infinitely many solutions (coincident). [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Recalling consistency definition: 1.0 Mark

Correct Answer: Intersecting or coincident
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