Question:medium
Let a, b $\in$ C. Let $\alpha, \beta$ be the roots of the equation $x^2 + ax + b = 0$. If $\beta-\alpha =\sqrt{11}$ and $\beta^2-\alpha^2 = 3i\sqrt{11}$, then $(\beta^3 - \alpha^3)^2$ is equal to:
Let a, b $\in$ C. Let $\alpha, \beta$ be the roots of the equation $x^2 + ax + b = 0$. If $\beta-\alpha =\sqrt{11}$ and $\beta^2-\alpha^2 = 3i\sqrt{11}$, then $(\beta^3 - \alpha^3)^2$ is equal to:
Updated On: Apr 12, 2026
- 160
- 176
- 194
- 187
Show Solution
The Correct Option is B
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
