a) Find M first. M [(p+q)/2 , (1/p+1/q)/2)
Skipped some steps, used gradient formula to find gradient of PQ.
Gradient of PQ= -1/(pq)
Skipped some steps, used gradient formula to find gradient of OM.
Gradient of OM= 1/pq
Given: Gradient of OM x Gradient of PQ = -1
(Therefore)...