Math, asked by usu06876, 23 hours ago

If Z₁ Z2 are two complex numbers such that |2₁| #12 and​

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Answers

Answered by arunashamala22
0

Answer:

∣z

1

+z

2

2

=∣z

1

2

+∣z

2

2

⇒(z

1

+z

2

)(

z

1

ˉ

+

z

2

ˉ

)=∣z

1

2

+∣z

2

2

⇒z

1

z

2

ˉ

+

z

1

ˉ

z

2

=0

⇒z

1

z

2

ˉ

+

z

1

z

2

ˉ

ˉ

=0

Therefore, z

1

z

2

ˉ

is purely imaginary

z

2

z

1

+

z

2

ˉ

z

1

ˉ

=0

also

z

2

z

1

is purely imaginary.

⇒arg(

z

2

z

1

)=

2

π

and hence, O,z

1

,z

2

are vertices of right triangle.

Step-by-step explanation:

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