Q26Multiple choice
State True or False for the following :
- (i)The order relation is defined on the set of complex numbers.
- (ii)Multiplication of a non zero complex number by – i rotates the point about origin through a right angle in the anti-clockwise direction.
- (iii)For any complex number z the minimum value of z + z − 1 is 1.
- (iv)The locus represented by z − 1 = z − i is a line perpendicular to the join of (1, 0) and (0, 1). (v) If z is a complex number such that z ≠ 0 and Re (z) = 0, then Im (z2) = 0. (vi) The inequality z − 4 < z − 2 represents the region given by x > 3. (vii) Let z1 and z2 be two complex numbers such that z1 + z2 = z1 + z2 , then arg (z1 – z2) = 0. (viii) 2 is not a complex number.