A) \[{{A}^{2}}+\,{{B}^{2}}\]
B) \[{{A}^{2}}-{{B}^{2}}\]
C) \[2({{A}^{2}}+\,{{B}^{2}})\]
D) \[2({{A}^{2}}-\,{{B}^{2}})\]
Correct Answer: C
Solution :
[c] \[R_{1}^{2}\,=\,{{A}^{2}}+\,{{B}^{2}}+\,2\,AB\,\cos \theta \] \[R_{2}^{2}\,=\,{{A}^{2}}+\,{{B}^{2}}-\,2\,AB\,\cos \theta \] \[\therefore \] \[R_{1}^{2}\,+\,R_{2}^{2}\,=2\,({{A}^{2}}+{{B}^{2}})\]You need to login to perform this action.
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