Q295 · Practice questionTechnology-freeSimple familiar1 mark
QUESTION 295
Which example shows that is not true for every pair of complex numbers?
(A)
,
(B)
,
(C)
,
(D)
,
WORKED SOLUTION
1 markAnswer C
ANSWER
C. ,
Worked solution
For C, the left side is 0 and the right side is 2. The other three pairs have equality. The general triangle inequality is an inequality, with equality only in appropriate aligned cases.
Equivalent justified methods accepted; respect any requested proof method.
Exact values unless specified. Sketches assessed by mathematical features, not artistic quality.
Select C.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabus