Question

-. Find the value of k for which
2(k - 1) x + y = 1; 3x - y = 1 represents parallel

lines.
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Answer 1

two lines will represent parallel if their slope is same so

y = 1 - 2(k - 1)x

slope = -2(k - 1 )

y = 3x - 1

slope =3

-2(k - 1) = 3

k = -1/2

hope it helps