Home Maths Complex Number JEE Main 2023 For a C, let A = {z C : Re(a + ) > Im( +…
Maths Complex Number JEE Main 2023 Single Correct MCQ
Published on: August 14, 2026

For a C, let A = {z C : Re(a + ) > Im( + z)} and B = {z C : Re(a + ) < Im( + z)}. Then among the two statements:

(S1): If Re(A), Im(A) > 0, then the set A contains all the real numbers

(S2): If Re(A), Im(A) < 0, then the set B contains all the real numbers,

A
Only (S2) is true
B
only (SI) is true
C
Both are true
D
Both are false

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Text Solution

Verified by Experts
The correct answer is:
D

Let
Now

Given inequality is not valid for these values.
S1 is false.
Now

Given inequality is not valid for these values. S2 is false.

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