Date | May 2021 | Marks available | 1 | Reference code | 21M.2.AHL.TZ1.8 |
Level | Additional Higher Level | Paper | Paper 2 | Time zone | Time zone 1 |
Command term | Find | Question number | 8 | Adapted from | N/A |
Question
Consider the complex numbers and , where .
Suppose that .
Find the modulus of .
[1]
a.
Find the argument of in terms of .
[2]
b.
Find the minimum value of .
[3]
c.i.
For the value of found in part (i), find the value of .
[1]
c.ii.
Markscheme
A1
[1 mark]
a.
attempt to find (M1)
A1
[2 marks]
b.
is a multiple of (M1)
is a multiple of (M1)
A1
[3 marks]
c.i.
A1
[1 mark]
c.ii.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.i.
[N/A]
c.ii.