Question

The value of k for which the equations 3x – y + 8 = 0 and 6x – ky + 16 = 0 represent coincident lines is ______.

Options

• `1/2`

• `-1/2`

• 2

• – 2

Answer 1

The value of k for which the equations 3x – y + 8 = 0 and 6x – ky + 16 = 0 represent coincident lines is 2.

Explanation:

We know that,

For coincident lines,

`\implies 3/6 = (-1)/(-k) = 8/16`

`\implies 1/2 = 1/k`

`\implies` k = 2