MCQ
यदि α + β + r = 2π, तो-
  • $\tan \frac{\alpha}{2}+\tan \frac{\beta}{2}+\tan \frac{r}{2}=\tan \frac{\alpha}{2} \tan \frac{\beta}{2} \tan \frac{r}{2}$
  • B
    $\tan \frac{\alpha}{2}+\tan \frac{\beta}{2}+\tan \frac{r}{2}=-\tan \frac{\alpha}{2} \tan \frac{\beta}{2} \tan \frac{r}{2}$
  • C
    $\tan \frac{\alpha}{2} \cdot \tan \frac{\beta}{2}+\tan \frac{\beta}{2} \tan \frac{r}{2}+\tan \frac{r}{2} \cdot \tan \frac{\alpha}{2}=1$
  • D
    $\tan \alpha \cdot \tan \beta+\tan \beta \cdot \tan r+\tan r \cdot \tan \alpha=1$

Answer

Correct option: A.
$\tan \frac{\alpha}{2}+\tan \frac{\beta}{2}+\tan \frac{r}{2}=\tan \frac{\alpha}{2} \tan \frac{\beta}{2} \tan \frac{r}{2}$
(A) $\tan \frac{\alpha}{2}+\tan \frac{\beta}{2}+\tan \frac{r}{2}=\tan \frac{\alpha}{2} \tan \frac{\beta}{2} \tan \frac{r}{2}$

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