NCERT · Class 10 · Mathematics · Pair of Linear Equations in Two VariablesThe pair of equations $y = 0$ and $y = -7$ has:
Step-by-Step Solution
The line $y = 0$ is the x-axis, and $y = -7$ is a line parallel to the x-axis. Since these two lines are parallel and distinct, they never intersect. Thus, there is no solution.
Detailed Options Breakdown
Option : One solution
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 1: Two solutions
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 2: Infinitely many solutions
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Pair of Linear Equations in Two Variables.
Option 3: No solution (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
💡 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.