UNIQUE COMPLEX NUMBERS QUESTION | 9709 | May June 2017 | Paper 33 | Q11 | LEMNISCATES ACADEMY

Solution PDF:-
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Question PDF:-
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Timestamps:-
00:00:00 – Introduction
00:00:15 – What to Expect in This Video
00:01:00 – Question 11(a): Problem Overview
00:02:17 – Examiner's Feedback on 11(a)
00:04:55 – How I’ll Share the Solutions with You
00:05:55 – 11(a) Full Step-by-Step Solution
00:07:55 – Question 11(b): Problem Overview
00:09:00 – Examiner's Feedback on 11(b)
00:10:46 – Understanding the Approach for 11(b)
00:13:05 – Rotating Complex Numbers: Concept Explained
00:20:21 – 11(b) Full Step-by-Step Solution
00:23:52 – Shoutout to the Student Who Shared This Question
00:24:02 – Final Thoughts and Outro

This question is from 9709_s17_qp_33 Q11

a) The complex numbers z and w satisfy the equations
z + (1 + i)w = i  and  (1 − i)z + iw = 1.
Solve the equations for z and w, giving your answers in the form x + iy, where x and y are real.

b) The complex numbers u and v are given by u = 1 + (2√3)i and v = 3 + 2i. In an Argand diagram, u and v are represented by the points A and B. A third point C lies in the first quadrant and is such that BC = 2AB and angle ABC = 90°. Find the complex number z represented by C, giving your answer in the form x + iy, where x and y are real and exact.

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Видео UNIQUE COMPLEX NUMBERS QUESTION | 9709 | May June 2017 | Paper 33 | Q11 | LEMNISCATES ACADEMY канала Lemniscates Academy