Geometrical Representation of Conjugate of a Complex Number
Let C be the ...
Question
Let C be the set of all complex numbers. Let S1={z∈C:|z−3−2i|2=8}, S2={z∈C:Re(z)≥5} and S3={z∈C:|z−¯z|≥8}.
Then the number of elements in S1∩S2∩S3 is equal to
A
0
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B
1
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C
2
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D
Infinite
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Solution
The correct option is B1 Clearly, S1 is a circle of centre (3,2) and radius 2√2 , S2 is plane with x≥5
and S3 is plane with y∈(−∞,−4]∪[4,∞)