Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

    A B   =  

    A B =  

   AB   =

  AB    =  √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

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