Question

5) If the pth, qth and rth terms of an AP are a, b and c respectively, the value of a(q-r) + b(r-p) + C(p-r) is
(a) 1
(b) -1
(C) 0
(d) 1/2​

Answer 1

Answer:

Option (C) 0

a(q-r) + b(r-p) + c(p-r)

= a(b-c) + b(c-a) + c(a-b)

= ab-ac+bc-ab+ac-bc

= (ab-ab) + (bc-bc) + (ac-ac)

= 0. (option C)