The value of 12 ^ -1 ( 2x 1+x^2 )+ 12 ^ -1 ( 1-y^2 1+y^2 ) is

MHT CET 2022 Mathematics question

The value of is

Answer: (A)

Using the standard identities (for , ): and . So the expression is by the addition formula

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Question ID VK-094349