The number of all values of in the interval (- 2 , 2 ) satisfying the equation (1- )(1+ ) ^2 + 2 ^2 = 0 is

MHT CET 2024 Mathematics question

Not in JEE Main syllabus

The number of all values of in the interval satisfying the equation is

Answer: (C)

Let , so . The equation becomes , i.e. , i.e. . Hence . Since , only is valid (). Thus , two distinct values, and in

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Question ID VK-092968