If the lines given by 3x+2y=2 and 2x+5y+1 =o are parallel ,then value of k is
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ShavezUmar:
I was thinking of the same too
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3x+2ky=2
⇒3x+2ky-2=0
2x+5y=1
⇒2x+5y-1=0
For the lines to be parallel,
a1 = b1 ≠ c1
a2 b2 c2
⇒b1 ≠ c1
b2 c2
⇒2k ≠ -2
5 -1
⇒2k≠ 2x5
⇒k≠5
∴ For any value except 5, the lines will be parallel.
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