Question

fpr what value of the pair of eqautions 2x-ky+3=0 and 4x+6y-5=0 represent parallel lines?

Answer 1

For representing parallel lines the condition is

$\frac{a1}{a2} = \frac{b1}{b2} not \: equal = \frac{c1}{c2}$

Here

a1 = 2 b1 = - k c1 = 3
a2 = 4 b2 = 6 c2 = - 5


a1/a2 = b1/b2

2/4 = -k /6

12/4 = -k

- 3 = k


b1/b2 ≠ c1/c2

-k/6 ≠ 3/-5

-k ≠ - 18/5

k ≠ 18/5


Value of k is - 3

Answer 2

If a1/a²=b1/b2 is not equal to c1/c2 then the lines are parallel