If [0,5 ] and r R are such that 2 =r^4-2r^2+3, then the maximum number of values of the pair (r, ) is

JEE Main Mathematics question

Not in JEE Main syllabus

If and are such that , then the maximum number of values of the pair is

Answer: (A)

Rewrite the right side: . The left side satisfies . So both must equal 2: (giving

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Question ID VK-008546