Question

For what value of k, do the equations 3x-y+8=0 and 6x-ky=-16
represents coincident lines.

Answer 1

Answer: For k = 2, the two equations 3x-y+8=0 and 6x-ky=-16 represent coincident lines.

Solution:

The given equations are 3x-y+8=0 and 6x-ky+16 = 0. We have to find the point at which both the equations represent coincident lines.

For the lines to be coincident,

Substituting the values, we get

Either  or  

k = 2 or k = 2

Therefore for k = 2, both the equations represent coincident lines.