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Suppose Z1,Z2 and Z3 are vertices of an equilateral tirangle inscribed in a circle |Z|=2. If Z1=1+3i, then find Z2 and Z3.

Suppose Z1,Z2 and Z3 are vertices of an equilateral tirangle inscribed in a circle |Z|=2. If Z1=1+3i, then find Z2 and Z3.

Grade:12

1 Answers

Ramesh V
70 Points
14 years ago

The point Z1( 1+3i) doesnot lie on circle |z|= 2

assuming the pt Z1 as ( 1 + 31/2.i) , the problem is solved

Z1 is at 60o from origin, Z2 will be at 180o and Z3 will be at 300o

so Z2 will be (-2 ,0)

and Z3 will be ( 1 - 31/2.i)

Z2  (-2 +0.i)
 Z3  ( 1 - 31/2.i)

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IIT Kgp - 2005 batch

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