Let . List IList II(P)For each there exists a such that (I)True(Q)There exists a such that has no solution in the set of complex numbers.(II)False(R) equals(III)1(S) equals(IV)2

Let . List IList II(P)For each there exists a such that …

Maths Complex Number JEE (Advanced) / IIT - JEE Problems (Previous Years) Single Correct MCQ

Published on: August 13, 2026

Let .

	List I		List II
(P)	For each there exists a such that	(I)	True
(Q)	There exists a such that has no solution in the set of complex numbers.	(II)	False
(R)	equals	(III)	1
(S)	equals	(IV)	2

P –(I), Q – (II), R – (IV), S – (III)

P –(II), Q – (I), R – (III), S – (IV)

P –(I), Q – (II), R – (III), S – (IV)

P –(II), Q – (I), R – (IV), S – (III)

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The correct answer is:

(P)
Hence for each there exists such that (True)
(Q) for &
for (False)
(R) are roots of the equation other then unity, hence

Substituting , we get
(S) sum of real parts of roots of except 1

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