If z¹=1+i and z²=2+2i then...... is not true
Answers
Answered by
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Step-by-step explanation:
Solution:
We have, ∣z
1
∣=∣z
2
∣
Let,
z
1
=x
1
+iy
1
and z
2
=x
2
+iy
2
∵∣z
1
∣=∣z
2
∣
∴x
1
2
+y
1
2
=x
2
2
+y
2
2
or, (x
1
2
−x
2
2
)+(y
1
2
−y
2
2
)=0
or, x
1
2
−x
2
2
=0 and y
1
2
−y
2
2
=0
or, x
1
=±x
2
and y
1
=±y
2
Let, z
1
=1+i then z
2
=−1−i
∣z
1
∣=∣z
2
∣=
2
But, Re(z
1
)
=Re(z
2
) and Im(z
1
)
=Im(z
2
) and z
1
=z
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