Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersConjugate and Modulus of complex numbers
MediumThe value of $|z - 5|$ if $z = x + iy$ is:
- A$\sqrt{(x - 5)^2 + y^2}$
- B$x^2 + \sqrt{(y - 5)^2}$
- C$\sqrt{(x - y)^2 + 5^2}$
- D$\sqrt{x^2 + (y - 5)^2}$
Explore More
Similar Questions
If $|z_1| = |z_2| = \dots = |z_n| = 1$,then the value of $|z_1 + z_2 + z_3 + \dots + z_n|$ is equal to:
Medium
View SolutionIf $\alpha, \beta$ are non-zero integers and $z=(\alpha+i \beta)(2+7 i)$ is a purely imaginary number,then the minimum value of $|z|^2$ is
Find the number of non-zero integral solutions of the equation $|1-i|^{x}=2^{x}$.
Medium
View SolutionIf the point $z=(1+i)(1+2i)(1+3i) \ldots (1+10i)$ lies on a circle with centre at the origin and radius $r$,then $r^2$ is equal to
The modulus of the conjugate of $z = \frac{-2+i}{(1-2i)^2}$ is
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo