Q25Multiple choice
Fill in the blanks of the following
- (i)For any two complex numbers z 1, z 2 and any real numbers a, b, 2 2 az1 − bz2 + bz1 + az2 = .....
- (ii)The value of −25 × −9 is ..................... (1 − i )3
- (iii)The number is equal to ............... 1− i3
- (iv)The sum of the series i + i2 + i3 + ... upto 1000 terms is .......... (v) Multiplicative inverse of 1 + i is ................ (vi) If z1 and z2 are complex numbers such that z1 + z2 is a real number, then z2 = .... (vii) arg (z) + arg z ( z ≠ 0) is ............... (viii) If z + 4 ≤ 3 , then the greatest and least values of z + 1 are ..... and ..... z −2 π (ix) If = , then the locus of z is ............ z+2 6 5π (x) If z = 4 and arg (z) = , then z = ............