The Maximum area of the triangle formed by the complex coordinates z 1 , z 2 , z 3 which satisfy the relations I z - z 1 I = I z - z 2 I , I z- (z 1 +z 2 ) / 2 I I ??? 2 – z 1 I z

Question

The Maximum area of the triangle formed by the complex coordinates z 1 , z 2 , z 3 which satisfy the relations I z - z 1 I = I z - z 2 I , I z- (z 1 +z 2 ) / 2 I I ??? 2 – z 1 I z

Yash Baheti · Answer

Hi,

The first equation says that z lies on perpendicular bisector of line joining z1 and z2.

But your second equation is not visible. Please write complete equation with proper sign to get an answer.
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The Maximum area of the triangle formed by the complex coordinates z 1 , z 2 , z 3 which satisfy the relations I z - z 1 I = I z - z 2 I , I z- (z 1 +z 2 ) / 2 I I ??? 2 – z 1 I z

The Maximum area of the triangle formed by the complex coordinates z₁, z₂, z₃ which satisfy the relations I z - z₁I = I z - z₂ I , I z- (z₁ +z₂ ) / 2 I I ???₂ – z₁ I z

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The Maximum area of the triangle formed by the complex coordinates z 1 , z 2 , z 3 which satisfy the relations I z - z 1 I = I z - z 2 I , I z- (z 1 +z 2 ) / 2 I I ??? 2 – z 1 I z

The Maximum area of the triangle formed by the complex coordinates z1, z2, z3 which satisfy the relations I z - z1I = I z - z2 I , I z- (z1 +z2 ) / 2 I I ???2 – z1 I z

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The Maximum area of the triangle formed by the complex coordinates z₁, z₂, z₃ which satisfy the relations I z - z₁I = I z - z₂ I , I z- (z₁ +z₂ ) / 2 I I ???₂ – z₁ I z