MCQ
${{\left( \frac{\sqrt{3}+i}{2} \right)}^{6}}+{{\left( \frac{i-\sqrt{3}}{2} \right)}^{6}}$is equal to [RPET 1997]
- ✓$-2$
- B0
- C2
- D1
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If
$\tan\alpha=\frac{\text{m}}{\text{m}+1},\tan\beta=\frac{1}{2\text{m}+1},$ then $\alpha+\beta$ is equal to:$\frac{\pi}{2}$
$\frac{\pi}{3}$
$\frac{\pi}{6}$
$\frac{\pi}{4}$
An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is: