Question

If the lines given by 3x + 2ky = 22 , x + 5y + 1 = 0 are parallel, then the value of k is ​

Answer 1

Answer:

3/2

Step-by-step explanation:

The condition for parallel lines is a1/a2 =b1/b2 ≠ c1/c2

3/1 = 2k/1 ≠ 22/0

3/1 = 2k/1

3 = 2k

k=3/2

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Answer 2

Answer:

$\bf \: 3x + 2ky - 2 = 0 \: \: ..........(1) \\ \\ \bf \: 2x + 5y + 1 = 0.........(2) \\ \\ \sf \underline{for \: \: \: parallel \: \: lines \: \: : }$

$\bf \large \boxed{ \frac{a_1 }{a_2} = \frac{b_1}{b_2} ≠ \frac{c_1}{c_2} }$

$\star\bf \: a_1 = 3 \\ \star\bf \: a_2 = 2 \\ \star\bf \: b_1 = 2k \\ \star\bf \: b_2 = 5 \\ \star \bf \: c_1 = - 2 \\ \star\bf \: c_2 = 1$

$\bf \large : \longmapsto \: \frac{a_1}{a_2} = \frac{b_1}{b_2} \\ \\ \bf \large : \longmapsto \: \frac{3}{2} = \frac{2k}{5} \\ \\ \bf \large : \longmapsto \:2k = \frac{5 \times 3}{2} \\ \\ \bf \large : \longmapsto \:2k = \frac{15}{2} \\ \\ \bf \large : \longmapsto \:k = \frac{15}{2 \times 2} \\ \\ \bf \large : \longmapsto \:k = \frac{15}{4}$

Therefore,

Value of k is 15/4 !!!!