Let θ, φ ∈ [0, 2π] be such that 2 (1 - ) = ^2 ( 2 + 2 ) - 1, (2 - ) > 0 and -1 < < - 3 2 . Then φ **cannot** satisfy

JEE Advanced 2012 Mathematics question

Let θ, φ ∈ [0, 2π] be such that

2θ(1 - φ) = θ( + )φ - 1,

and . Then φ **cannot** satisfy

Answer: (A),(C),(D)

, so the right side is . The equation becomes . Conditions on θ: $(2π - θ) = -θ > 0

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Question ID VK-026054