If the lines 2y - kx + 2 = 0 and y + x - k/2 = 0 Intersect at (1, -2), find the value of k
Answer Details
The problem gives two equations of two lines and a point of intersection between them. We need to find the value of "k" in one of the equations.
The point of intersection (1, -2) lies on both lines, so it must satisfy both equations.
Substituting x=1 and y=-2 in the first equation 2y - kx + 2 = 0 gives:
2(-2) - k(1) + 2 = 0
Simplifying this equation:
-4 - k + 2 = 0
-2 - k = 0
k = -2
Therefore, the value of k is -2.
Option (C) is the correct answer.