If \[{{A}_{1}},\ {{A}_{2}};{{G}_{1}},\ {{G}_{2}}\] and \[{{H}_{1}},\ {{H}_{2}}\] be \[AM's,\ GM's\] and \[HM's\] between two quantities, then the value of \[\frac{{{G}_{1}}{{G}_{2}}}{{{H}_{1}}{{H}_{2}}}\] is [Roorkee 1983; AMU 2000]

\[\frac{{{A}_{1}}-{{A}_{2}}}{{{H}_{1}}+{{H}_{2}}}\]

\[\frac{{{A}_{1}}+{{A}_{2}}}{{{H}_{1}}+{{H}_{2}}}\]

\[\frac{{{A}_{1}}+{{A}_{2}}}{{{H}_{1}}-{{H}_{2}}}\]

\[\frac{{{A}_{1}}-{{A}_{2}}}{{{H}_{1}}-{{H}_{2}}}\]

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 \[AM's,\ GM's\] and \[HM's\] between two quantities, then the value of \[\frac{{{G}_{1}}{{G}_{2}}}{{{H}_{1}}{{H}_{2}}}\] is [Roorkee 1983; AMU 2000]
A.	\[\frac{{{A}_{1}}+{{A}_{2}}}{{{H}_{1}}+{{H}_{2}}}\]
B.	\[\frac{{{A}_{1}}-{{A}_{2}}}{{{H}_{1}}+{{H}_{2}}}\]
C.	\[\frac{{{A}_{1}}+{{A}_{2}}}{{{H}_{1}}-{{H}_{2}}}\]
D.	\[\frac{{{A}_{1}}-{{A}_{2}}}{{{H}_{1}}-{{H}_{2}}}\]
Answer» B. \[\frac{{{A}_{1}}-{{A}_{2}}}{{{H}_{1}}+{{H}_{2}}}\]