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Let A(z1) and B(z2) be two points lying on the curve z−3−4i=25¯¯¯z−3+4i where |z1| is maximum. Now, A(z1) is rotated about the origin in anti-clockwise direction through 90∘ reaching at P(z0). If A,B and P are collinear, then the value of |z0−z1||z0−z2| is

Answer» Let A(z1) and B(z2) be two points lying on the curve z34i=25¯¯¯z3+4i where |z1| is maximum. Now, A(z1) is rotated about the origin in anti-clockwise direction through 90 reaching at P(z0). If A,B and P are collinear, then the value of |z0z1||z0z2| is


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