Paper 1, Section I, C

Vectors and Matrices | Part IA, 2021

(a) Find all complex solutions to the equation zi=1z^{i}=1.

(b) Write down an equation for the numbers zz which describe, in the complex plane, a circle with radius 5 centred at c=5ic=5 i. Find the points on the circle at which it intersects the line passing through cc and z0=154z_{0}=\frac{15}{4}.

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