Question

For what of 'k', will the equations 2x-y+8=0 and 4x-ky+15=0 represent intersecting lines?​

Answer 1

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Answer 2

2x - y + 8 = 0 ; 4x - ky + 15 = 0

a1 = 2 , b1 = -1, c1 = 8 ; a2 = 4 , b2 = -k ,c2 = 15

for intersecting lines:

a1/a2 ≠ b1/b2

2/4 ≠ -1/-k

1/2 ≠ 1/k

k ≠ 2

Hence, For all values of k except 2 , the following pair of equations will represent intersecting lines.