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If the lines given by 3x+2ky= 2 and 2x+...

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

`(3)/(2)`

D

`(15)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
For parallel lines, we have ` (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2 )` .
` therefore (3)/(2) = (2k)/(5) ne(-2)/(1) rArr k = (15)/(4) and k ne - 5 rArr k = (15)/(4)`.
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