# Test: Complex Numbers & Quadratic Equations- Case Based Type Questions

## 10 Questions MCQ Test Online MCQ Tests for Commerce | Test: Complex Numbers & Quadratic Equations- Case Based Type Questions

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Attempt Test: Complex Numbers & Quadratic Equations- Case Based Type Questions | 10 questions in 20 minutes | Mock test for JEE preparation | Free important questions MCQ to study Online MCQ Tests for Commerce for JEE Exam | Download free PDF with solutions
QUESTION: 1

### A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.Q. Real part of Z1 is ...............

Solution: The real part of Z1 is 2.
QUESTION: 2

### A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.Q. Imaginary part of Z1 – Z2 is .............

Solution: Z1 – Z2 = (2 + 3i) – (4 – 3i)

= –2 + 6i

Imaginary part = 6

QUESTION: 3

### A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.Q. Imaginary part of Z2 is ...............

Solution: Imaginary part of Z2 is -3.
QUESTION: 4

A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.

Q. Real part of Z1/Z2 is ..............

Solution:

QUESTION: 5

A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.

Q. Imaginary part of is ...........

Solution:

Imaginary part = 0

QUESTION: 6

Consider the complex number Z = 2 – 2i.

Q. The real part of Z is ...............

Solution: Real part of 2 – 2i = 2
QUESTION: 7

Consider the complex number Z = 2 – 2i.

Q. The value of |Z| is ..............

Solution:

QUESTION: 8

Consider the complex number Z = 2 – 2i.

Q. Zz̄ = ..............

Solution:

QUESTION: 9

Consider the complex number Z = 2 – 2i.

Q. The principal argument of Z is ...........

Solution:

QUESTION: 10

Consider the complex number Z = 2 – 2i.

Q. The polar form of Z is .............
Solution:

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