Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Consider the complex numbers
.
(i) The value of
for which
is purely real are
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(i) , (ii) , (iii) , (iv)


If
is purely real, then

or

If
is purely imaginary,
or
,
which is not possible.

If
, then


We have,

Now, 









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