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Complex Numbers — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Algebra of Complex Numbers(15 Qs)

easy (5)

Q1The value of i² is:Q2The modulus of z = 3 + 4i is:Q3The conjugate of z = 2 + 3i is:Q4If z₁ = 1+i and z₂ = 1-i, then z₁ + z₂ =Q5i⁴ⁿ for any positive integer n equals:

medium (5)

Q1The argument of z = -1 + i is:Q2Euler's formula states:Q3The square roots of i are:Q4If |z| = 1, then z lies on:Q5z · z̄ equals:

hard (5)

Q1The cube roots of unity are:Q2De Moivre's theorem states:Q3If z₁, z₂, z₃ form an equilateral triangle inscribed in |z|=r, then z₁²+z₂²+z₃² equals:Q4The locus of z satisfying |z-1| = |z+1| is:Q5The nth roots of a complex number z₀ = re^(iθ) are:

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