Mathematics

What is the value of k if the mid-point of the line joining (1 -…

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