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Complex Numbers Aieee Questions — 20+ MCQs & PYQs | ExamTest.live

ExamTest.live has 20 Complex Numbers questions from AIEEE-CBSE-ENG-03, covering years 2004–2026.

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Q1mediummcqMathematicsAIEEE 20072026

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If ∣ z + 4∣ \leq 3, then the maximum value of ∣ z + 1∣ is:

Q2mediummcqMathematicsAIEEE 20062026

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If z^{2} + z + 1 = 0, where z is a complex number, then the value of (z + \frac{1}{z})^{2} + (z^{2} + \frac{1}{z ^{2}})^{2} + \dots + (z^{6} + \frac{1}{z ^{6}})^{2} is:

Q3mediummcqMathematicsAIEEE 20062026

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The value of \sum_{k = 1}^{10} (sin \frac{2 kπ}{11} + i cos \frac{2 kπ}{11}) is:

Q4mediummcqMathematicsAIEEE 20122026

If z \neq = 1 and \frac{z ^{2}}{z - 1} is real, then the point represented by the complex number z lies:

Q5mediummcqMathematicsAIEEE2026

If the cube roots of unity are 1, ω, ω^{2}, then the roots of the equation (x - 1)^{3} + 8 = 0 are:

Q6mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026

If ω \neq = 1 is a cube root of unity, and (1 + ω^{2})^{7} = A + B ω . Then (A, B) equals:

Q7hardmcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026

Let α, β be real and z be a complex number. If z^{2} + α z + β = 0 has two distinct roots on the line Re (z) = 1, then it is necessary that:

Q8easymcqMathematicsAIEEE2026

The number of complex numbers z such that ∣ z - 1∣ = ∣ z + 1∣ = ∣ z - i ∣ equals:

Q9mediummcqMathematicsAIEEE 20092026

If ∣ z - 4/ z ∣ = 2, then the maximum value of ∣ z ∣ is equal to:

Q10mediummcqMathematicsAIEEE 20092026

Let A and B denote the statements: A : cos α + cos β + cos γ = 0 B : sin α + sin β + sin γ = 0 If cos (β - γ) + cos (γ - α) + cos (α - β) = - \frac{3}{2}, then:

Q11mediummcqMathematicsAIEEE2026

The conjugate of a complex number is \frac{1}{i - 1} . Then the complex number is:

Q12mediummcqMathematicsAIEEE-CBSE-ENG-032026

If 1, ω, ω^{2} are the cube roots of unity, then Δ = 1 ω^{n} ω^{2 n} ω^{n} ω^{2 n} 1 ω^{2 n} 1 ω^{n} is equal to:

Q13mediummcqMathematicsAIEEE-CBSE-ENG-032026

If (\frac{1 + i}{1 - i})^{x} = 1, then:

Q14mediummcqMathematicsAIEEE-CBSE-ENG-032026

If z and ω are two non-zero complex numbers such that ∣ z ω ∣ = 1, and Arg (z) - Arg (ω) = \frac{π}{2}, then \overset{z}{ˉ} ω is equal to:

Q15mediummcqMathematicsAIEEE-CBSE-ENG-032026

Let z_{1} and z_{2} be two roots of the equation z^{2} + a z + b = 0, z being complex. Further, assume that the origin, z_{1} and z_{2} form an equilateral triangle, then:

Q16mediummcqMathematicsAIEEE2026

If ω = \frac{z}{z - ( i /3 )} and ∣ ω ∣ = 1, then z lies on:

Q17mediummcqMathematicsAIEEE2026

If z_{1} and z_{2} are two non-zero complex numbers such that ∣ z_{1} + z_{2} ∣ = ∣ z_{1} ∣ + ∣ z_{2} ∣, then ar g z_{1} - ar g z_{2} is equal to:

Q18mediummcqMathematicsAIEEE 20042004

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If z = x - i y and z^{\frac{1}{3}} = p + i q, then \frac{( \frac{x}{p} + \frac{y}{q} )}{( p ^{2} + q ^{2} )} is equal to

Q19mediummcqMathematicsAIEEE 20042004

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Let z, w be complex numbers such that \overline{z} + \overline{i w} = 0 and ar g z w = π . Then ar g z equals

Q20mediummcqMathematicsAIEEE 20042004

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If ∣ z^{2} - 1∣ = ∣ z ∣^{2} + 1, then z lies on

How many Complex Numbers questions come in AIEEE-CBSE-ENG-03?▼

Our database has 20 Complex Numbers questions from AIEEE-CBSE-ENG-03 covering 2004 to 2026.

What difficulty are AIEEE-CBSE-ENG-03 Complex Numbers questions?▼

The 20 AIEEE-CBSE-ENG-03 Complex Numbers questions include 1 easy, 18 medium and 1 hard level questions.

Where can I find more Complex Numbers questions for other exams?▼

Visit /tag/complex-numbers to see all Complex Numbers questions across all exams including AIEEE-CBSE-ENG-03, AIEEE 2004, AIEEE 2009.