If \[{{A}_{1}},\ {{A}_{2}};{{G}_{1}},\ {{G}_{2}}\] and \[{{H}_{1}},\ {{H}_{2}}\] be two A.M.s, G.M.s and H.M.s between two numbers respectively, then\[\frac{{{G}_{1}}{{G}_{2}}}{{{H}_{1}}{{H}_{2}}}\times \frac{{{H}_{1}}+{{H}_{2}}}{{{A}_{1}}+{{A}_{2}}}\] = [RPET 1997]

If \[{{A}_{1}},\ {{A}_{2}};{{G}_{1}},\ {{G}_{2}}\] and \[{{H}_{1}},\ {

1.	If \[{{A}_{1}},\ {{A}_{2}};{{G}_{1}},\ {{G}_{2}}\] and \[{{H}_{1}},\ {{H}_{2}}\] be two A.M.s, G.M.s and H.M.s between two numbers respectively, then\[\frac{{{G}_{1}}{{G}_{2}}}{{{H}_{1}}{{H}_{2}}}\times \frac{{{H}_{1}}+{{H}_{2}}}{{{A}_{1}}+{{A}_{2}}}\] = [RPET 1997]
A.	1
B.	0
C.	2
D.	3
Answer» B. 0

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If \[{{A}_{1}},\ {{A}_{2}};{{G}_{1}},\ {{G}_{2}}\] and \[{{H}_{1}},\ {{H}_{2}}\] be two A.M.s, G.M.s and H.M.s between two numbers respectively, then\[\frac{{{G}_{1}}{{G}_{2}}}{{{H}_{1}}{{H}_{2}}}\times \frac{{{H}_{1}}+{{H}_{2}}}{{{A}_{1}}+{{A}_{2}}}\] = [RPET 1997]

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