The number of ordered pairs (α, β), where α, β ∈ (-π, π) satisfying cos(α - β) = 1 and cos(α + β) = 1/e is

The number of ordered pairs (α, β), where α, β ∈ (-π, π)… — JEE Main 2005 Mathematics PYQ

AIEEE 2005

The number of ordered pairs

(\alpha, \beta)

, where

\alpha, \beta \in (-\pi, \pi)

satisfying

\cos(\alpha - \beta) = 1

and

\cos(\alpha + \beta) = \dfrac{1}{e}

Show answer

Correct option: B

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