1.

If in \[\Delta \,ABC\], \[2{{b}^{2}}={{a}^{2}}+{{c}^{2}},\]then \[\frac{\sin 3B}{\sin B}=\] [UPSEAT 1999]

A. \[\frac{{{c}^{2}}-{{a}^{2}}}{2ca}\]
B. \[\frac{{{c}^{2}}-{{a}^{2}}}{ca}\]
C. \[{{\left( \frac{{{c}^{2}}-{{a}^{2}}}{ca} \right)}^{2}}\]
D. \[{{\left( \frac{{{c}^{2}}-{{a}^{2}}}{2ca} \right)}^{2}}\]
Answer» E.


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