If the lines given by 3x + 2y = 2. and 2x + 5y = 0 are parallel, then the value of k will be
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a1/a2 = b1/b2 ≠ c1/c2 …(i)
Given lines, 3x + 2ky - 2 = 0
and 2x + 5y - 1 = 0;
Comparing with ax + by + c = 0;
Here, a1 = 3, b1 = 2k, c1 = - 2
and a2 = 2, b2 = 5, c2 = - 1
From Eq. (i), 3/2 = 2k/5
k = 15/4
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