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The locus of the points representing the complex numbers  for which  is

a)

A circle with centre at the origin

b)

A straight line passing through the origin

c)

The single point

d)

None of these



Question ID - 103270 | SaraNextGen Top Answer

The locus of the points representing the complex numbers  for which  is

a)

A circle with centre at the origin

b)

A straight line passing through the origin

c)

The single point

d)

None of these

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

We have,

 and

 lies on the circle  and also on the perpendicular bisector of the line segment joining  and  i.e.,

Putting  in  we get

Hence, the locus of  is the single point

127 votes


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