JEE Advance - Mathematics (2005 - No. 22)
$$\cos \left( {\alpha - \beta } \right) = 1$$ and $$\,\cos \left( {\alpha + \beta } \right) = 1/e$$ where $$\alpha ,\,\beta \in \left[ { - \pi ,\pi } \right].$$
Paris of $$\alpha ,\,\beta $$ which satisfy both the equations is/are
Paris of $$\alpha ,\,\beta $$ which satisfy both the equations is/are
0
1
2
4