What is the value of k if the mid-point of the line joining (1 – k, – 4) and (2, k + 1) is (-k , k)?
-
A.
-3 -
B.
-1 -
C.
-4 -
D.
-2
Correct Answer: Option A
Explanation
(1-k+2) / 2 = – k and -4 + k + 1 = k
3-k = -2k and -3 + k = 2k
K = -3 and k = -3