Let A and B denote the statements
Question:

Let A and B denote the statements

A : $\cos \alpha+\cos \beta+\cos \gamma=0$

$\mathbf{B}: \sin \alpha+\sin \beta+\sin \gamma=0$

If $\cos (\beta-\gamma)+\cos (\gamma-\alpha)+\cos (\alpha-\beta)=-\frac{3}{2}$, then :-

1.  Both A and B are true

2.  Both A and B are false

3. A is true and B is false

4. A is false and B is true

Correct Option: 1

Solution: