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If P(z) is a variable point and A(z1)and...

If P(z) is a variable point and `A(z_1)and B(z_2)` are the two fixed points in the argand plane (i)`arg((z-z_1)/(z-z_2))=pmpi/2 ` (ii) `arg((z-z_1)/(z-z_2))=0 or pi`, then find the locus of z?

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