If z/2+4z/2+5z/2=-10then z is
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ANSWER
∣z∣=2
Let z
′
=x+iy lies on the locus represented by the complex numbers −1+5z
So,
z
′
=−1+5z
z
′
+1=5z
∣z
′
+1∣=∣5z∣
∣z
′
+1∣=5∣z∣=5(2)=10
∣x+iy+1∣=10
⇒(x+1)
2
+y
2
=100
which is an equation of a circle with radius 10 and center (−1,0)
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