Teaching DSSSB PGT Mock Test 2025 Mathematics Complex Numbers Algebraic Operations on Complex Numbers
If z1 = x1 + i y1, z2 = x2 + i y2, z3 = x1 + \(\frac{i x_2}{2}\), z4 = 2y1 + i y2 are complex numbers such that |z1| = 1, |z2| = 2 and Re (z1 z2) = 0, then
1
|z3| = 1, |z4| = 2, Im (z3 z4) = 0
2
|z3| = 2, |z4| = 1, Re (z3 z4) = 0
3
|z3| = 1, |z4| = 2, Re (z3 z4) = 0
4
|z3| = 2, |z4| = 1, Re (z1 z3) = Im (z2 z4) = 0