The number of values of α in [0, 2π] for which 2 ^3 - 7 ^2 + 7 = 2, is :

JEE Main 2014 Mathematics question

Not in JEE Main syllabus

The number of values of α in [0, 2π] for which , is :

Answer: (1)

Put : . Since s = 1 satisfies it, factorising gives , so or 2. The value 2 is

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Question ID VK-104413