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QJEEAdv05Mae8d9: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Mae8d9 Solution: and where Paris of which satisfy both the equations is/are

cos⁡(α−β)=1\cos \left( {\alpha - \beta } \right) = 1 and  cos⁡(α+β)=1/e\,\cos \left( {\alpha + \beta } \right) = 1/e where α, β∈[−π,π].\alpha ,\,\beta \in \left[ { - \pi ,\pi } \right].
Paris of α, β\alpha ,\,\beta which satisfy both the equations is/are

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  • B 1
  • C 2
  • D 4

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