Question:medium
Let $z_1 = \dfrac{5+7i}{7-5i}, \, z_2 = \dfrac{3+2i}{3-2i}$ and $z_3 = \dfrac{1+11i}{11-i}$. Then $z_1\overline{z_1} + z_2\overline{z_2} + z_3\overline{z_3}$ is equal to:
Let $z_1 = \dfrac{5+7i}{7-5i}, \, z_2 = \dfrac{3+2i}{3-2i}$ and $z_3 = \dfrac{1+11i}{11-i}$. Then $z_1\overline{z_1} + z_2\overline{z_2} + z_3\overline{z_3}$ is equal to:
Show Hint
Always use $z\overline{z} = |z|^2$ to simplify complex number expressions quickly.
Updated On: Apr 24, 2026
- $2$
- $1+2i$
- $1$
- $3$
- $1-2i$
Show Solution
The Correct Option is D
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