Mark the correct alternative in each of the following: If p, q be two A.M.’s and G be one G.M. between two numbers, then

Question

Philoid · Accepted Answer

Let the numbers be a,b.

∴ a,p,q,b (two A.M.)

⇒ a,G,b(one GM)

G² = a.b(GM)

2p = a+q(AM)

2q = b+p(AM)

a = 2p-q

b = 2q-p

∴ a.b = (2p-q)(2q-p)

G² = (2p-q)(2q-p)