Pair of Linear Equations in Two Variables
RD Sharma
CBSE
Grade 10
Question:
If $c x - y = 2$ and $6x - 2y = 3$ have no solution, then the value of $c$ is:
(a) $3$
(b) $-3$
(c) $12$
(d) $
eq 4$
Step-by-Step Solution
Key Concept: No solution condition: $\\dfrac{c}{6} = \\dfrac{-1}{-2} \<br>eq \\dfrac{2}{3} \Rightarrow \\dfrac{c}{6} = \\dfrac{1}{2} \Rightarrow c = 3$.
$\\dfrac{c}{6} = \\dfrac{1}{2} \Rightarrow c = 3$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Solving $\\dfrac{c}{6} = \\dfrac{1}{2} \Rightarrow c = 3$: 1.0 Mark
Correct Answer: $3$
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