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Pair of Linear Equations in Two Variables
NCERT Exemplar
CBSE
Grade 10
Question:
The pair of equations $y = 0$ and $y = -7$ has: (a) One solution (b) Two solutions (c) Infinitely many solutions (d) No solution
Step-by-Step Solution
Key Concept: The lines $y=0$ (the x-axis) and $y=-7$ are horizontal lines parallel to each other.
$y = 0$ represents the $x$-axis; $y = -7$ is a horizontal line $7$ units below the $x$-axis. [0.5 Mark] Since both lines are parallel to each other and never intersect, there is no solution. [0.5 Mark]
--- 🎯 Official CBSE Marking Scheme: Identifying lines as parallel: 0.5 Mark Concluding no solution: 0.5 Mark
Correct Answer:No solution
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