(7) If the lines given by 3x +2ky -2 = 0 and 2x +5y = -1 are Parallel, then the value
of k is
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Step-by-step explanation:
For two lines be parallel, their slopes should be equal.
General formula of a line is y= mx +b where m= slope of the line.
Here the lines given are,
3x +2ky-2=0 & 2x +5y = -1
3x+2ky=2 m2 = 2/5
m1 = 3/2k
These lines are parallel, so
m1=m2
3/2k = 2/5
15 = 4k
k =15/4
= 3.75.
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