Verified Solution • 2025–26 Session
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QJEEM21Mac064: JEE Main 2021 Mathematics - Class 11 JEEM21Mac064 Solution: Let S 1 , S 2 and S 3 be three sets defined as S 1 = {z C :
Let S1, S2 and S3 be three sets defined as
S1 = {z C : |z 1| }
S2 = {z C : Re((1 i)z) 1}
S3 = {z C : Im(z) 1}
Then the set S1 S2 S3 :
S1 = {z C : |z 1| }
S2 = {z C : Re((1 i)z) 1}
S3 = {z C : Im(z) 1}
Then the set S1 S2 S3 :
Multiple Choice Options
- A has exactly three elements
- B is a singleton
- C has infinitely many elements
- D has exactly two elements
Step-by-Step Verified Solution
Let, z = x + iy
S1 (x 1)2 + y2 2 ..... (1)
S2 x + y 1 ..... (2)
S3 y 1 .... (3)
S1 S2 S3 has infinitely many elements.
S1 (x 1)2 + y2 2 ..... (1)
S2 x + y 1 ..... (2)
S3 y 1 .... (3)
S1 S2 S3 has infinitely many elements.