Question

if the line given by 3 X + 2k y=2 and 2 X + 5 Y + 1=0are parallel, then find k​

Answer 1

Step-by-step explanation:

Let the L1 =3 X + 2k y=2

L2= 2 X + 5 Y + 1=0

Slope=m=-a/b

m1=-3/2k

m2=-2/5

m1=m2. ....For line are parallel

-3/2k=-2/5

k=4/15

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Answer 2

Step-by-step explanation:

if the two lines are parallel then,

a1/a2=b1/b2 but not equal to c1/c2

$\frac{3}{2} = \frac{2k}{5} \: not \:equal \: to \: \frac{ - 2}{1}$

$\frac{2k}{5} = \frac{3}{2}$

$k = \frac{3 \times 5}{2 \times 2}$

$k = \frac{15}{4}$