question_answer

If A.M and G.M of x and y are in the ratio p: q, then x : y is

A)  \[p-\sqrt{{{p}^{2}}+{{q}^{2}}}:p+\sqrt{{{p}^{2}}+{{q}^{2}}}\]

B)  \[p+\sqrt{{{p}^{2}}-{{q}^{2}}}:p+\sqrt{{{p}^{2}}-{{q}^{2}}}\]

C)  \[p:q\]

D)  \[p+\sqrt{{{p}^{2}}+{{q}^{2}}}:p-\sqrt{{{p}^{2}}+{{q}^{2}}}\]

E)  \[q+\sqrt{{{p}^{2}}-{{q}^{2}}}:q-\sqrt{{{p}^{2}}-{{q}^{2}}}\]