Question:medium
Let $z_1, z_2 \in \mathbb{C}$ be the distinct solutions of the equation $z^2 + 4z - (1 + 12i) = 0$. Then $|z_1|^2 + |z_2|^2$ is equal to :
Let $z_1, z_2 \in \mathbb{C}$ be the distinct solutions of the equation $z^2 + 4z - (1 + 12i) = 0$. Then $|z_1|^2 + |z_2|^2$ is equal to :
Updated On: Apr 12, 2026
- 18
- 22
- 29
- 34
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Algebra of Complex Numbers
- The statement \( (p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q)) \) is equivalent to:
- MHT CET - 2024
- Mathematics
- Algebra of Complex Numbers
- The variance of the first 50 even natural numbers is:
- MHT CET - 2024
- Mathematics
- Algebra of Complex Numbers
- If the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \) are \( p \) and \( q \), then what is the value of \( p + q \)?
- MHT CET - 2025
- Mathematics
- Algebra of Complex Numbers
- Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
- MHT CET - 2025
- Mathematics
- Algebra of Complex Numbers
- Want to practice more? Try solving extra ecology questions todayView All Questions
