In an Argand diagram with origin $$$O$$$, the roots of this equation are represented by the distinct points  $$$A$$$ and $$$B$$$. Given that $$$A$$$ and $$$B$$$ lie on the imaginary axis, find a relation between $$$p$$$ and $$$q$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_31 Year：2021 Question No：5(b)

Answer:

State or imply that the discriminant must be negative
State condition $ q<p^{2}\ $

Knowledge points:

3.9.1 understand the idea of a complex number, recall the meaning of the terms real part, imaginary part, modulus, argument, conjugate, and use the fact that two complex numbers are equal if and only if both real and imaginary parts are equal

Answer:

Knowledge points:

Solution:

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