Complex Numbers 2 Question 21

22. The complex numbers z=x+iy which satisfy the equation z5iz+5i=1, lie on

(1981, 2M)

(a) the X-axis

(b) the straight line y=5

(c) a circle passing through the origin

(d) None of the above

Objective Questions II

(One or more than one correct option)

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Answer:

Correct Answer: 22. (a,b,c)

Solution:

  1. Given, z5iz+5i=1|z5i|=|z+5i|

[ if |zz1|=|zz2|, then it is a perpendicular

Perpendicular bisector of (0,5) and (0,5) is X-axis.



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