alleryIf the lines given by $3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel, then the value of $k$ is:
A$15/4$
B$4/15$
C$-5/4$
D$5/4$
Answer & Solution
Correct answer: A. $15/4$
1. For parallel lines: $a_1/a_2 = b_1/b_2 \ne c_1/c_2$.
2. Here $a_1 = 3, a_2 = 2$ and $b_1 = 2k, b_2 = 5$.
3. So $3/2 = 2k/5 \Rightarrow 4k = 15 \Rightarrow k = 15/4$.
_Source: NCERT Class 10 Mathematics, Ch3 'Pair of Linear Equations in Two Variables'_
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