Modulus and Its Properties

JEE Main Mathematics · Complex Numbers · 6 questions, latest first

• Let z=(1+i)(1+2 i)(1+3 i) ….(1+n i), where i=√-1. If |z|^2=44200, then n is equal to ____202624 January, Shift 2 · Q21
• If z_1, z_2 are two distinct complex number such that |(z_1-2 z_2)/(1/2-z_1 z̄_2)|=2, then20246 April, Shift 2 · Q3
• Consider the following two statements: Statement I: For any two non-zero complex numbers z_1, z_2…20245 April, Shift 1 · Q2
• If z is a complex number such that |z| ≥ 1, then the minimum value of |z+1/2(3+4 i)| is:20241 February, Shift 2 · Q3
• Let the complex numbers α and 1/(ᾱ) lie on the circles |z-z_0|^2=4 and |z-z_0|^2=16 respectively, where z_0=1+i. Then, the value…202427 January, Shift 2 · Q21
• Let a, b be two real numbers such that a b<0. If the complex number (1+a i)/(b+i) is of unit modulus and a +i b lies on the…20231 February, Shift 2 · Q62