MP Board · Class 10 · Mathematics · Pair of Linear Equations in Two VariablesIf the pair of linear equations $a1x + b1y + c1 = 0$ and $a2x + b2y + c2 = 0$ represents coincident lines, then:
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Total Attempts: 3
Accuracy Rate: 33.3%
Step-by-Step Solution
Coincident lines have infinitely many solutions, which occurs when all three ratios are equal: $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$.
Detailed Options Breakdown
Option : $\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 1: $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 2: $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: None of these
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.