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


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10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Complex Numbers & Quadratic Equations- Case Based Type Questions

Test: Complex Numbers & Quadratic Equations- Case Based Type Questions for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The Test: Complex Numbers & Quadratic Equations- Case Based Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Complex Numbers & Quadratic Equations- Case Based Type Questions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions below.
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Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - 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 ...............

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 1
The real part of Z1 is 2.
Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - 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 .............

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 2
Z1 – Z2 = (2 + 3i) – (4 – 3i)

= –2 + 6i

Imaginary part = 6

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

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 3
Imaginary part of Z2 is -3.
Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - 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 ..............

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 4

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

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 5

Imaginary part = 0

Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 6

Consider the complex number Z = 2 – 2i.

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

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 6
Real part of 2 – 2i = 2
Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 7

Consider the complex number Z = 2 – 2i.

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

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 7

Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 8

Consider the complex number Z = 2 – 2i.

Q. Zz̄ = ..............

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 8

Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 9

Consider the complex number Z = 2 – 2i.

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

Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 9

Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 10

Consider the complex number Z = 2 – 2i.

Q. The polar form of Z is .............
Detailed Solution for Test: Complex Numbers & Quadratic Equations- Case Based Type Questions - Question 10

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