MP Board · Class 10 · Mathematics · Pair of Linear Equations in Two VariablesIf a pair of linear equations is inconsistent, then the graph of these equations will be:
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Step-by-Step Solution
An inconsistent system of linear equations has no common solution, which means the lines representing the equations never intersect. Therefore, the lines are parallel.
Detailed Options Breakdown
Option : Parallel lines (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: Coincident lines
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 2: Intersecting lines
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 3: Perpendicular lines
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
💡 Study Guide: This question tests core syllabus concepts from Pair of Linear Equations in Two Variables. For formulas, key summaries, and mock exam reference guides, read the full Pair of Linear Equations in Two Variables Revision Notes.