A) \[{{l}_{1}}+{{l}_{3}}\]
B) \[{{l}_{2}}+{{l}_{3}}+{{l}_{4}}\]
C) \[{{l}_{2}}+{{l}_{3}}\]
D) \[{{l}_{1}}+{{l}_{2}}+{{l}_{3}}+{{l}_{4}}\]
Correct Answer: A
Solution :
Applying the theorem of perpendicular axes \[{{l}_{0}}={{l}_{1}}+{{l}_{2}}={{l}_{3}}+{{l}_{4}}\] From symmetry of axes\[{{l}_{1}}\,\,and\,\,{{l}_{2}}\] and \[{{l}_{3}}\,\,and\,\,{{l}_{4}}\] \[\therefore \,\,\,\,\,\,\,\,\,{{l}_{0}}=2{{l}_{2}}=2{{l}_{3}}\,\,i.e.,\,\,{{l}_{2}}={{l}_{3}}\] Now, \[{{l}_{0}}={{l}_{1}}+{{l}_{3}}\]You need to login to perform this action.
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