Answer: p² - 2q.
- A p² - q
- B p² - 2q
- C p² + 2q
- D 2p - q
Correct answer: B. p² - 2q
Explanation: alpha² + beta² = (alpha+beta)² - 2 alpha×beta = p² - 2q.
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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