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Complex Numbers And Quadratic Equations Questions
12 Practice QuestionsStart Practicing Now
- [Easy]If z = 3 + 4i, then |z| equals...
- [Easy]If the roots of the equation x² - 5x + 6 = 0 are α and β, then α + β equals...
- [Hard]If z is a complex number such that |z| = 1, then the value of (1 + z)/(1 + z̄) (where z̄ is the conjugate of z) lies on...
- [Easy]The argument of the complex number z = 1 + i is...
- [Medium]If z₁ = 2 + 3i and z₂ = 1 - 2i, then z₁ × z₂ equals...
- [Medium]If z = cos θ + i sin θ, then z^n + 1/z^n equals...
- [Medium]The conjugate of (3 - 2i)/(1 + i) is...
- [Easy]If i = √(-1), then i⁴ + i⁸ + i¹₂ + i¹⁶ equals...
- [Hard]If ω is a cube root of unity, then (1 + ω - ω²)⁶ equals...
- [Easy]The discriminant of the quadratic equation 2x² - 7x + 3 = 0 is...
- [Easy]For what value of k does the equation x² + kx + 16 = 0 have equal roots?...
- [Medium]If α and β are the roots of x² - px + q = 0, then the equation whose roots are α² and β² is...