Exams
Subjects
Classes
Home
Exams
Mathematics
Complex Numbers and Quadratic Equations
modulus of the complex nu...
Question:
medium
Modulus of the complex number \(\frac{(1+i)^{10{(2i-4)^4}\) is equal to}
Show Hint
Use \(|z^n|=|z|^n\) and \(\left|\frac{z_1}{z_2}\right|=\frac{|z_1|}{|z_2|}\). Modulus is always non-negative.
AP ECET Ceramic Tech - 2025
AP ECET Ceramic Tech
Updated On:
May 7, 2026
\(\frac{2}{25}\)
\(-\frac{2}{25}\)
\(\frac{1}{25}\)
\(-\frac{1}{25}\)
Show Solution
The Correct Option is
A
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Complex Numbers and Quadratic Equations
If \( z = 3 + 4i \), then the modulus of \( z \) is:
MHT CET - 2025
Mathematics
Complex Numbers and Quadratic Equations
View Solution
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
MHT CET - 2025
Mathematics
Complex Numbers and Quadratic Equations
View Solution
The minimum value of
\(| z+ \frac{3+4i}{2}|, |z| \leq 1\)
is,
JEE Main - 2024
Mathematics
Complex Numbers and Quadratic Equations
View Solution
\(If (\frac{(1+i}{1-i})^m=1, \text{then find the least positive integral value of m.}\)
CBSE Class XI
Mathematics
Complex Numbers and Quadratic Equations
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in AP ECET Ceramic Tech exam
If \[ \frac{2x+5}{(x-1)(x+3)} = \frac{A}{x-1} + \frac{B}{x+3}, \] then \[ A+B = \; ? \]
AP ECET Ceramic Tech - 2025
Calculus
View Solution
If \[ \frac{3x-1}{(x-1)(x-2)(x-3)} = \frac{A}{x-1} + \frac{B}{x-2} + \frac{C}{x-3}, \] then the values of \((A,B,C)\) are
AP ECET Ceramic Tech - 2025
Calculus
View Solution
If \(\sin\theta=\frac{3}{5}\), then \(\cos\theta=\)
AP ECET Ceramic Tech - 2025
Trigonometry
View Solution
If \(\cos\theta\cosec\theta=-1\) and \(\theta\) lies in the second quadrant, then \(\cos\theta=\)
AP ECET Ceramic Tech - 2025
Trigonometry
View Solution
If \(5\sin\theta=4\), then the value of \(\frac{\cosec\theta-\cot\theta}{\cosec\theta+\cot\theta}\) is
AP ECET Ceramic Tech - 2025
Trigonometry
View Solution