Pair of Linear Equations in Two Variables
CBSE 2026 Board Exam Set 1 (Code 30/7/1)
CBSE_BOARD_PYQ_2026_30_7_1
Grade 10
Question:
[Section A]
If the pair of linear equations $3x + y = 3$ and $6x + ky = 8$ does not have a solution, then the value of $k$ is:
(A) $1$
(B) $2$
(C) $-2$
(D) $3$
Step-by-Step Solution
Key Concept: For no solution, $\dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} <br>eq \dfrac{c_1}{c_2} \Rightarrow \dfrac{3}{6} = \dfrac{1}{k} \Rightarrow k = 2$.
Sol. (B) $2$. [1.0 Mark]
Correct Answer: (B) $2$
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