Complex Numbers

254 Maharashtra State Board Class 11 Mathematics practice questions with answers and worked solutions.

Difficulty: 79 easy · 130 moderate · 45 hard.
Most-asked subtopics: Powers of i and Division (52), Conjugate and Algebra of Complex Numbers (39), Cube Roots of Unity (35).
Updated 16 August 2026.

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#1Complex Numbers and Equality
#2Conjugate and Algebra of Complex Numbers
#3Conjugate and Algebra of Complex Numbers
#4Conjugate and Algebra of Complex Numbers
#5Conjugate and Algebra of Complex Numbers
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#6Conjugate and Algebra of Complex Numbers
#7Conjugate and Algebra of Complex Numbers
#8Conjugate and Algebra of Complex Numbers
#9Conjugate and Algebra of Complex Numbers
#10Powers of i and Division
#11Powers of i and Division
#12Powers of i and Division
#13Powers of i and Division
#14Powers of i and Division
#15Powers of i and Division
#16Complex Numbers and Equality
#17Complex Numbers and Equality
#18Conjugate and Algebra of Complex Numbers
Set · 2 questions
Simplify :
- #19Complex Numbers and Equality
- #20Complex Numbers and Equality
Set · 8 questions
Write the conjugates of the following complex numbers
- #21Conjugate and Algebra of Complex Numbers
- #22Conjugate and Algebra of Complex Numbers
- #23Conjugate and Algebra of Complex Numbers
- #24Conjugate and Algebra of Complex Numbers
- #25Conjugate and Algebra of Complex Numbers
- #26Conjugate and Algebra of Complex Numbers
- #27Conjugate and Algebra of Complex Numbers
- #28Conjugate and Algebra of Complex Numbers
Set · 6 questions
Find $a$ and $b$ if
- #29Complex Numbers and Equality
- #30Complex Numbers and Equality
- #31Complex Numbers and Equality
- #32Complex Numbers and Equality
- #33Complex Numbers and Equality
- #34Complex Numbers and Equality
Set · 11 questions
Express the following in the form of $a + ib$ , $a, b \in R$ , $i = \sqrt{-1}$ . State the values of $a$ and $b$ .
- #35Conjugate and Algebra of Complex Numbers
- #36Powers of i and Division
- #37Powers of i and Division
- #38Powers of i and Division
- #39Powers of i and Division
- #40Powers of i and Division
- #41Powers of i and Division
- #42Powers of i and Division
- #43Conjugate and Algebra of Complex Numbers
- #44Conjugate and Algebra of Complex Numbers
- #45Powers of i and Division
#46Conjugate and Algebra of Complex Numbers
#47Powers of i and Division
Set · 3 questions
Evaluate the following :
- #48Powers of i and Division
- #49Powers of i and Division
- #50Powers of i and Division

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Complex Numbers

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