Question

For a∈ C, let A = {z∈C : Re (a + z ) > Im ( a + z)} and B = {z∈C : Re (a + z ) < Im ( a + 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 (S1) is true
• C. both are true
• D. both are false

Answer 1

Answer: (D)

both are false

Answer 2

The Correct Option is(D):both are false