1.

In a \[\Delta ABC,\]\[2a\sin \,\,\left( \frac{A-B+C}{2} \right)\] is equal to  [IIT Screening 2000]

A. \[{{a}^{2}}+{{b}^{2}}-{{c}^{2}}\]
B. \[{{c}^{2}}+{{a}^{2}}-{{b}^{2}}\]
C. \[{{b}^{2}}-{{c}^{2}}-{{a}^{2}}\]
D. \[{{c}^{2}}-{{a}^{2}}-{{b}^{2}}\]
Answer» C. \[{{b}^{2}}-{{c}^{2}}-{{a}^{2}}\]


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