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If the imaginary part of (2z + 1/iz + 1) is -2, then show that the locus of the point representing z in the argand plane is a straight line.

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If the imaginary part of (2z + 1/iz + 1) is -2, then show that the locus of the point representing z in the argand plane is a straight line.

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Let z = x + iy. Then,

Hence, the locus of z is a straight line

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