If the line given by 3 x + 2 k y equal to 2 and 2x + 5 y + 1 = 0 are parallel then find the value of k.
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Step-by-step explanation:
Condition for the lines to be parallel is
a2a1=b2b1=c2c1
Here the equations are
3x+2ky=2 and 2x+5y+1=0
So, a1=3,b1=2k,c1=−2 and a2=2,b2=5,c2=1
∴a2a1=23,b2b1=52k and c2c1
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