JEE Mathematics
Modulus & Argument: JEE Questions & Solutions
11 previous-year JEE Mathematics questions on Modulus & Argument, each with a worked step-by-step solution.
Previous-year questions
- 01The number of complex numbers z, satisfying |z| = 1 and | z/z + z/z | = 1, is:MCQMediumJEE 2025
- 02Let O be the origin, the point A be z₁ = √3 + 2√2i, the point B z₂ be such that √3|z₂| = |z₁| and arg(z₂) = arg(z₁) + π/6. Then:MCQMediumJEE 2025
- 03Let integers a, b ∈ [-3,3] be such that a + b ≠ 0. Then the number of all possible ordered pairs (a, b), for which | (z - a)/(z + b) | = 1…NVAMediumJEE 2025
- 04Among the statements: (S1): The set { z ∈ ℂ - {-i}: |z| = 1 and (z - i)/(z + i) is purely real } contains exactly two elements. (S2): The…MCQMediumJEE 2025
- 05Let r and θ respectively be the modulus and amplitude of the complex number z = 2 - i(2 tan 5π/8). Then, (r, θ) is equal to:MCQMediumJEE 2024
- 06If α denotes the number of solutions of |1 - i|^x = 2^x and β = |z|/arg(z), where z = π/4(1 + i)⁴ [(1 - √π i)/(√π + i) + (√π - i)/(1 + √π…MCQMediumJEE 2024
- 07Let z = 1 + i and z₁ = (1 + iz)/(z(1-z) + 1/z). Then 12/π arg(z₁) is equal to.NVAMediumJEE 2023
- 08The complex number z = (i-1)/(cos π/3 + i sin π/3) is equal to:MCQMediumJEE 2023
- 09Let w₁ be the point obtained by the rotation of z₁ = 5 + 4i about the origin through a right angle in the anticlockwise direction, and w₂…MCQEasyJEE 2023
- 10The number of real roots of the equation x|x|-5|x+2|+6=0 isMCQMediumJEE 2023
- 11If the set { Re ((z- z+z z)/(2-3z+5 z)): z∈ℂ, Re(z)=3 } is equal to the interval (α,β], then 24(β-α) is equal toMCQMediumJEE 2023
Frequently asked questions
Our bank has 11 previous-year JEE Mathematics questions tagged to Modulus & Argument, drawn from JEE papers between 2023 and 2025, including 4 from 2025 alone. Each comes with a full step-by-step solution.
Modulus & Argument is rated Intermediate overall for JEE Mathematics. The PYQs on this page break down as 10 medium, 1 easy.
Of the 11 previous-year questions on Modulus & Argument, 9 are multiple-choice (MCQ) and 2 are numerical-value (NVA) questions.
Based on recent paper analysis, Modulus & Argument is worth about 1 mark in JEE Main. It sits in Complex Numbers & Quadratic Equations, a Class 11 Mathematics chapter.
More Complex Numbers & Quadratic Equations topics
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