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If z is a complex number such that arg then the locus of is
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Text solutionVerified
lies on a segment of a circle on subtendlng an angle at , where is , is . Mid-point of is is ths centre of the clrcle.
Let a be the radius , from of the circle.
Also
But OC is along the y axis
is
The circle should lie above the -axis (real axis)
locus of z is
where Img
Let a be the radius , from of the circle.
Also
But OC is along the y axis
is
The circle should lie above the -axis (real axis)
locus of z is
where Img
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Question Text | If z is a complex number such that arg then the locus of is |
Answer Type | Text solution:1 |
Upvotes | 150 |