Let `alpha, beta` are the roots of `x^2+px+qr = 0.`
Then, `alphabeta = qr ->(1)`
Let `beta, gamma` are the roots of `x^2+qx+rp = 0.`
Then, `betagamma = rp ->(2)`
Let `gamma, alpha` are the roots of `x^2+rx+pq = 0.`
Then, `gammaalpha= pq ->(3)`
Multiplying (1),(2) and (3),
`=> (alphabetagamma)^2 = (pqr)^2`
`=> alphabetagamma = pqr`
So, option `A` is the correct option.