question_answer

The abscissa of two points M and N are the roots of the equation \[{{x}^{2}}+2ax-{{b}^{2}}=0\] and their ordinates are the roots of the equation\[{{x}^{2}}+2px-{{q}^{2}}=0\]. The radius of the circle with MN as diameter is_________.

A)  \[\sqrt{{{a}^{2}}+{{b}^{2}}+{{p}^{2}}+{{q}^{2}}}\]   

B)  \[\sqrt{{{a}^{2}}+{{p}^{2}}}\]

C)  \[\sqrt{{{b}^{2}}+{{q}^{2}}}\]                   

D)  \[\sqrt{{{a}^{2}}+{{b}^{2}}}\]

E)  None of these