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IIT JEE Advanced 2008 Paper 1

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Let A, B, C be three sets of complex numbers as defined below

A = {z :Im z ≥ 1}

B = {z : |z - 2 - i| = 3}

C = {z : Re ((1 - i) z) =

\sqrt{2}

}

Section: Mathematics

Question : 68 of 69

Marks: +1, -0

|z +1- i|^2 + |z - 5 - i|^2

Solution:

The points (–1, 1) and (5, 1) are the extremities of a diameter of the given circle. Hence

|z +1- i|^2 + |z - 5 - i|^2

= 36

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