Question:medium
Let \( z_1 = 1 + i\sqrt{3} \) and \( z_2 = 1 + i \), then \( \arg\left( \frac{z_1}{z_2} \right) \) is
Let \( z_1 = 1 + i\sqrt{3} \) and \( z_2 = 1 + i \), then \( \arg\left( \frac{z_1}{z_2} \right) \) is
Show Hint
Argument of quotient = difference of arguments.
Updated On: Apr 30, 2026
- \( \frac{5\pi}{12} \)
- \( \frac{7\pi}{12} \)
- \( \frac{11\pi}{12} \)
- \( \frac{3\pi}{12} \)
- Not defined
Show Solution
The Correct Option is D
Solution and Explanation
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
- Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
- MHT CET - 2025
- Mathematics
- Complex Numbers and Quadratic Equations
- The minimum value of \(| z+ \frac{3+4i}{2}|, |z| \leq 1\) is,
- JEE Main - 2024
- Mathematics
- Complex Numbers and Quadratic Equations
- \(If (\frac{(1+i}{1-i})^m=1, \text{then find the least positive integral value of m.}\)
- CBSE Class XI
- Mathematics
- Complex Numbers and Quadratic Equations
- Want to practice more? Try solving extra ecology questions todayView All Questions
