## Modulus of Complex Numbers MCQ Basic Level

Compared to other sections, mathematics is considered to be the most scoring section. If prepared thoroughly, mathematics can help students to secure a meritorious position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1. The product of two complex numbers each of unit modulus is also a complex number, of

•  unit modulus
•  Less than unit modulus
•  Greater than unit modulus
•  None of these

unit modulus

Q2. The moduli of two complex numbers are less than unity, then the modulus of the sum of these complex numbers

•  Less than unity
•  Greater than unity
•  Equal to unity
•  Any of these

Any of these

Q3. The values of z for which | z + i | = | z – i | are

•  Any real number
•  Any complex number
•  Any natural number
•  None of these

Any real number

Q4. If z is a complex number such that (z-1)/(z+1) is purely imaginary, then

•  | z | = 0
•  | z | = 1
•  | z | > 1
•  | z | < 1

| z | = 1

Q5. The minumum value of |2z-1|+|3z-2| is

•  0
•  1/2
•  1/3
•  2/3

1/3

Q6. If 2 z1/3 z2 is a purely imaginary number, then |(z1-z2)/(z1+z2) | is equal to

•  3/2
•  1
•  2/3
•  4/9

1

Q7. If | z | = Max. { | z – 2 |, | z + 2 | }, then

•  |z+conj(z)|=1
•  z+conj(z)=22
•  |z+conj(z)|=2
•  None of these

|z+conj(z)|=2

Q8. Let z be a complex number of constant modulus such that z2 is purely imaginary then the number of possible values of z is

•  2
•  1
•  4
•  Infinite

4

Q9. Number of solutions of the equation z2+ | z |2 where z∈ C is

•  1
•  2
•  3
•  Infinitely many

Infinitely many

Q10. The modulus of √2i - √-2i is

•  2
•  √2
•  0
•  2 √2

2

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