Math Chapter Wise question with answer

Q01 For real x, the complex numbers sin x+i cos 2x and cos x–i sin 2x are conjugate to each other for: English · UP PCS (Pre) 1999 Q02 If tan [log (x + iy)] = a + ib, where a, b, x and y are real and a2 + b2 ≠ 1, then the value of tan [log(x2 + y2)]... English · PGT 2009 Q03 The real part of square of a complex number is equal to: English · KVS PGT 2022 Q04 If z1 and z2 are two complex numbers, then which one of the following is not true? English · KVS PGT 2023 Q05 If complex numbers a1, a2, a3........ are in G.P. having common ratio r such that ≠ ∑ ∑ n n 2k-1 2k+2 k=1 k=1 a = a... English · UP PGT 2021 Q06 The z1 and z2 are two non zero complex numbers such that |z1+z2|=|z1|+|z2|, then Arg z1–Arg z2 English · PGT 2002