Complex Numbers 2 Question 29

30.

The number of elements in the set ABC is

(a) 0

(b) 1

(c) 2

(d)

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Answer:

Correct Answer: 30. (b)

Solution:

  1. Let z=x+iy

Set A corresponds to the region y1

Set B consists of points lying on the circle, centre at (2,1) and radius 3.

i.e.

x2+y24x2y=4

Set C consists of points lying on the x+y=2

Clearly, there is only one point of intersection of the line x+y=2 and circle x2+y24x2y=4.



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