Question

(3) If the lines given by 3x+2ky=2 and 2x+5y+1=0 are parallel then the value of k is
(a)-5/4
(b) 2/5
(c) 15/4
(d) 3/2​

Answer 1

Answer:

your answer is 3/2

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Answer 2

Step-by-step explanation:

For the lines to be parallel, the slopes of the lines MUST be equal.

Lines:

3x + 2ky - 2 = 0 … (1)

2x + 5y + 1 = 0 … (2)

Now, convert 1 and 2 into y = mx + c form where m is the slope.

for 1,

y = (-3/2k)x + (1/k)

for 2,

y = (-2/5)x - (1/5)

So now for both lines to be parallel, (-3/2k) must be equal to (-2/5)