JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

If then

Answer: (B),(C),(D)

Solution

(Take .)

+Missing argument for \bar\bar +Missing argument for \bar\bar =Missing argument for \bar\bar +Missing argument for \bar\bar \ ⇒\ Missing argument for \bar\bar +Missing argument for \bar\bar =0

— (c) ✓. As in Q107, dividing by gives , so is purely imaginary — (b) ✓, (a) ✗.

Therefore $

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Question ID VK-108142