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Complex Numbers and De Moivre’s Theorem

Telangana Open School (TOSS) · Class 12 · Mathematics

Most important questions from Complex Numbers and De Moivre’s Theorem for Telangana Open School (TOSS) Class 12 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

47 questions30 flashcards5 concepts

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47 Questions·
multiple choicetrue falsemultiple correct

Sample Questions

1multiple choice
1 marks

What is the imaginary part of \( -2 + 3i \)?

Show answer

3

For a complex number \( a + bi \), the imaginary part is \( b \), not \( bi \). So here, it is 3.

2multiple choice
1 marks

Which of the following is equal to \( i^4 \)?

Show answer

1

We know \( i^2 = -1 \), so \( i^4 = (i^2)^2 = (-1)^2 = 1 \).

3multiple choice
1 marks

What is the conjugate of \( 3 + 4i \)?

Show answer

3 - 4i

The conjugate of \( a + bi \) is \( a - bi \). So, the conjugate of \( 3 + 4i \) is \( 3 - 4i \).

4true false
1 marks

Is the conjugate of a real number the number itself?

Show answer

True

Yes, because a real number is \( a + 0i \), and its conjugate is \( a - 0i = a \), which is the same.

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Frequently Asked Questions

What are the important topics in Complex Numbers and De Moivre’s Theorem for Telangana Open School (TOSS) Class 12 Mathematics?
Complex Numbers and De Moivre’s Theorem covers several key topics that are frequently asked in Telangana Open School (TOSS) Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Complex Numbers and De Moivre’s Theorem — Telangana Open School (TOSS) Class 12 Mathematics?
Understand the core concepts first, then work through the 47 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Complex Numbers and De Moivre’s Theorem?
There are 47 practice questions available for Complex Numbers and De Moivre’s Theorem. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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