Question: 1. (a) Solve the equation : + 2z+ 10-0. Find the modulus and argument of each root. [4] (b) Complex numbers a and / are

1. (a) Solve the equation : + 2z+ 10-0. Find the modulus and argument of each root. [4] (b) Complex numbers a and / are given by -2 0OE 8 -42 cos isin (0) Write down the modulus and argument of each of the complex numbers a and f. Illustrate these two complex numbers on an Argand diagram. [3] (ii) Indicate a length on your diagram which is equal to |6- ~ , and show that 5-2 -6. [3] (iii) On your diagram, draw and label (A) the locus L of points representing complex numbers ? such that 3-0 -6, [3] (B) the locus M of points representing complex numbers rouch that arg(:- Q) - [3]

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