QCEVault

Complex numbers — Question 129

Original QCE Vault practice · 6 marks

Q129 · Practice questionTechnology-freeComplex unfamiliar6 marks

QUESTION 129 (6 marks)

Points z=x+iyz=x+iy satisfy ∣z∣=5|z|=5 and are equidistant from 1+2i1+2i and 5+2i5+2i.
Original diagram for Specialist Mathematics Paper 1 question 19
a)
Show the equal-distance locus is x=3x=3.
[2 marks]
b)
Find the two intersection points.
[2 marks]
c)
Find the exact area of the triangle formed by the origin and the two intersections.
[2 marks]
Question linkSyllabus coverage

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