MCQOPTIONS
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MCQOPTIONS
| 1. |
If \[{{\tan }^{-1}}(\alpha +i\beta )=x+iy,\] then x = [RPET 2002] |
| A. | \[\frac{1}{2}{{\tan }^{-1}}\left( \frac{2\alpha }{1-{{\alpha }^{2}}-{{\beta }^{2}}} \right)\] |
| B. | \[\frac{1}{2}{{\tan }^{-1}}\left( \frac{2\alpha }{1+{{\alpha }^{2}}+{{\beta }^{2}}} \right)\] |
| C. | \[{{\tan }^{-1}}\left( \frac{2\alpha }{1-{{\alpha }^{2}}-{{\beta }^{2}}} \right)\] |
| D. | None of these |
| Answer» B. \[\frac{1}{2}{{\tan }^{-1}}\left( \frac{2\alpha }{1+{{\alpha }^{2}}+{{\beta }^{2}}} \right)\] | |