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Pair of Linear Equations in Two Variables
RD Sharma
CBSE
Grade 10

Question:

If the lines given by $3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel, then the value of $k$ is:
(a) $\dfrac{15}{4}$
(b) $\dfrac{4}{15}$
(c) $-\dfrac{15}{4}$
(d) $-\dfrac{4}{15}$

Step-by-Step Solution

Key Concept: Parallel condition: $\\dfrac{3}{2} = \\dfrac{2k}{5} \Rightarrow 4k = 15 \Rightarrow k = 15/4$.
$\\dfrac{3}{2} = \\dfrac{2k}{5} \Rightarrow 4k = 15 \Rightarrow k = 15/4$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Solving $4k = 15 \Rightarrow k = 15/4$: 1.0 Mark

Correct Answer: $\dfrac{15}{4}$
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