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If one vertex of the triangle having max...

If one vertex of the triangle having maximum area that can be inscribed in the circle `|z-i|=5i s3-3i` , then find the other vertices of the triangle.

Text Solution

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Inscrible traingle is clearly equilateral.
Let the other vertex be z.

`therefore (z-i)/(3-3i-i) =e^(pmi(2pi)/(3))`
or ` z - i = (3- 4)e^(pmi(2pi)/(2))`
or `z = i (3 -4i) (-(1)/(2) + pmi(sqrt(3))/(2))`
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