## Conjugate of a Complex Number 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. Conjugate of 1 + i is

•  i
•  1
•  1-i
•  i+1

1-i

Q2. If z is a complex number, then z .conj(z)=0 if and only if

•  z = 0
•  Re (z) = 0
•  Im (z) = 0
•  None of these

z=0

Q3. Let z1, z2 be two complex numbers such that z1+z2 and z1z2 both are real, then

•  z1 = - z2
•  z1 = conj(z2)
•  z1 = - conj(z2)
•  z1 = z2

z1=conj(z2)

Q4. For any complex number z, conj(z)=(1/z) if and only if

•  z is a pure real number
•  | z | = 1
•  z is a pure imaginary number
•  z = 1

| z | = 1

Q5. If a complex number lies in the IIIrd quadrant then its conjugate lies in quadrant number

•  I
•  II
•  III
•  IV

II

Q6. If z=x+iy lies in IIIrd quadrant then conj(z)/z also lies in the IIIrd quadrant if

•  x>y>0
•  x
•  y
•  y>x>0

y

Q7. The value of (z+3)(conj(z)+3) is equivalent to

•  |z+3|2
•  z-3
•  z2+3
•  None of these

|z+3|2

Q8. The set of values of a ∈ R for x2+i(a-1)x+5=0 which will have a pair of conjugate complex roots is

•  R
•  {1}
•  {a|a2-2a+21>0}
•  None of these

{1}

Q9. If (c+i)/(c-i)=a+ib where a, b, c are real, then a2+b2=

•  1
•  - 1
•  c2
•  - c2

1

Q10. If z=3+5i, then z3+conj(z)+198=

•  -3-5i
•  -3+5i
•  3+5i
•  3-5i

3+5i

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