If A, G and H are respectively arithmetic , geometric and harmonic means between a and b both being unequal and positive, then
`A = (a+b)/2 rArr a + b = 2A , G = sqrtab rArr ab = G^2` and `H = (2ab)/(a + b) rArr G^2 = AH`.
From above discussion we can say that a , b are the roots of the equation `x^2 - 2A x + G^2 = 0`
Now, quadratic equation `x^2 - Px + Q = 0` and quadratic equation `a(b-c)x^2 + b(c - a)x + c(a-b) = 0` have a root common and satisfy the relation b =`(2ac)/(a+c)`, where a, b, c are real numbers.
The value of [P] is (where [.] denotes the greatest integer function)

Options

A. -2
B. -1
C. 2
D. 1

Answer

C