The values of x [-2 ,2 ] such that x+i x 1+i , i= -1 , is purely imaginary, are given by

JEE Advanced Mathematics question

The values of such that , , is purely imaginary, are given by

Answer: (A)

Multiply numerator and denominator by :

Purely imaginary real part (with imaginary part ): $ x+ x=0⇒

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Question ID VK-108550