Math Chapter Wise question with answer

Q01 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 Q02 If tan (θ + iφ)= cos α+i sin α then English · PGT 2010 Q03 If x2 + 2x + k is a factor of 2x4 + x3 – 14x2 + 5x + 6, then the value of k is: English · EMRS TGT-2023 Q04 If z = x+ iy, then minimum value of |z –3| + |z – 4| is - English · RPSC PGT 2022 Q05 If ω be a cube root of 1, then what is the value of (1–ω) (1–ω2) (1–ω4) (1–ω5)? English · DSSSB PGT 2021 Q06 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