Q. 73.8( 14 Votes )

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

B.

C.

D.

Answer :

Condition for parallel lines is

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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