If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is: - Mathematics MCQ Mathematics Mock Test - 5 2026 | ExamTest.live

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If the lines given by 3 x + 2 k y = 2 and 2 x + 5 y + 1 = 0 are parallel, then the value of k is:

Solution & Step-by-step Explanation

Two lines a_{1} x + b_{1} y + c_{1} = 0 and a_{2} x + b_{2} y + c_{2} = 0 are parallel if \frac{a _{1}}{a _{2}} = \frac{b _{1}}{b _{2}} .For lines 3 x + 2 k y - 2 = 0 and 2 x + 5 y + 1 = 0 : \frac{3}{2} = \frac{2 k}{5} Multiply both sides by 5: \frac{15}{2} = 2 k k = \frac{15}{4}

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If the lines given by 3 x + 2 k y = 2 and 2 x + 5 y + 1 = 0 are parallel, then the value of k is:

- 5/4

3/2

15/4

2/5

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