If M(4, q) is the midpoint of the line joining L(p, 2) and N(q, p). Find the values of p and q

A.
P = 2, q = 4 
B.
p = 3, q = 1 
C.
p = 5, q = 3 
D.
p = 6, q = 2
Correct Answer: Option D
Explanation
(frac{p + q}{2}) = 4
p + q = 8 ….(i)
(frac{p – 2}{2}) = q
p – 2q 2 ….(ii)
q = 2, p = 6
3q = 6