Home Maths Complex Number Matching Type Question Let (JEE Advanced 2014) List IList II(A)For…
Maths Complex Number Matching Type Question Single Correct MCQ
Published on: August 13, 2026

Let (JEE Advanced 2014)

List I

List II

(A)

For each  there exists a  such that .

(P)

True

(B)

There exists a  such that  has no solution  in the set of complex numbers

(Q)

False

(C)

  equals

(R)

1

(D)

 equals

(S)

2

Codes:

A
– (P), – (Q), – (S), – (Q),
B
– (Q), – (S), – (R), – (S),
C
– (R), – (R), – (P), – (P),
D
– (S) – (P) – (Q) – (R)

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Text Solution

Verified by Experts
The correct answer is:
A

is root of unity

So, will also be root of unity.

Take as .

take , we can always find .

complex number

Put

.

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