The nonzero real value of x for which (1+ix)(1+2ix) 1-ix is purely real is

JEE Advanced Mathematics question

The nonzero real value of for which is purely real is

Answer: (A),(C)

. Multiply numerator and denominator by (the denominator becomes ):

(1-+3ix)(1+ix)=(1--+i (x-+3x)=(1-+i (4x-

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Question ID VK-108116