If `p ,q` be two A.M. `' s` and `G` be one G.M. between two numbers, then `G^2=` a)`(2p-q)(p-2q)` (b) `(2p-q)(2q-p)` c)`(2p-q)(p+2q)` (d) none of these

Explanation

Let the two numbers be a and b

`=>a,p,q,b` are in A.P

`=>a=p−(q−p)=2p−q,---`(i)

Similarly,

`b=q+(q−p)=2q−p----`(ii)


and in G.P

`=>G^2=ab`

...