If each pair of the equation x2+ax+b=0,x2+bx+c=0 and x2+cx+a=0 has a common root, then product of all common roots is

# If each pair of the equation  has a common root, then product of all common roots is

1. A

$\sqrt{\mathrm{abc}}$

2. B

$2\sqrt{\mathrm{abc}}$

3. C

$\sqrt{\mathrm{ab}+\mathrm{bc}+\mathrm{ca}}$

4. D

$2\sqrt{\mathrm{ab}+\mathrm{bc}+\mathrm{ca}}$

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Let the roots be $\mathrm{\alpha },\mathrm{\beta },\mathrm{\beta },\mathrm{\gamma }$ and $\mathrm{\gamma },\mathrm{\alpha }$ then,