Question:medium
The area of the triangle in the complex plane formed by \( z, iz \) and \( z + iz \) is
The area of the triangle in the complex plane formed by \( z, iz \) and \( z + iz \) is
Show Hint
Area in complex plane problems often reduces to modulus squared when vectors involve rotations like \( iz \).
Updated On: May 1, 2026
- \( |z| \)
- \( |z|^2 \)
- \( \frac{1}{2}|z|^2 \)
- \( \frac{1}{2}|z + iz|^2 \)
- \( |z + iz| \)
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on Complex numbers
- The number of all four-digit numbers which begin with 4 and end with either zero or five is
- MHT CET - 2024
- Mathematics
- Complex numbers
- If \( z, \bar{z}, -z, -\bar{z} \) forms a rectangle of area \( 2\sqrt{3} \) square units, then one such \( z \) is:
- BITSAT - 2024
- Mathematics
- Complex numbers
- If \( z_1, z_2, \dots, z_n \) are complex numbers such that \( |z_1| = |z_2| = \dots = |z_n| = 1 \), then \( |z_1 + z_2 + \dots + z_n| \) is equal to:
- BITSAT - 2024
- Mathematics
- Complex numbers
- If \( |z_1| = 2, |z_2| = 3, |z_3| = 4 \) and \( |2z_1 + 3z_2 + 4z_3| = 4 \), then the absolute value of \( 8z_2z_3 + 27z_1z_3 + 64z_1z_2 \) equals:
- BITSAT - 2024
- Mathematics
- Complex numbers
- Want to practice more? Try solving extra ecology questions todayView All Questions
