Question

If every pair from among the equations `x^2 + px + qr = 0, x^2 + qx +rp = 0` and `x^2+rx +pq = 0` has a common root then the product of three common root is
A. pqr
B. 2 pqr
C. `p^(2) q^(2) r^(2)`
D. none of these

Answer 1

Correct Answer - A
In illustration 6, we have `alpha beta = qr, beta gamma = rp and gamma alpha = pq`
`rArr" "(alpha beta) (beta gamma) (gamma alpha) = (qr) (rp)(pq)`
`rArr" "(alpha beta gamma)^(2) = (pqr)^(2) rArr alpha beta gamma = pqr`