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Complex Numbers question

2008 · Shift 1 · Q24

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2008 · Shift 1 · Q24

Complex Numbers question

2008 · Shift 1 · Q24

JEE AdvancedMathematicsComplex NumbersMCQ+3 / −1

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

A = \left\{ {z:\,{\mathop{\rm Im} olimits} \,\,z\,\, \ge \,1} \right\}B = \left\{ {z:\,\,\left| {z - 2 - i} \right| = 3} \right\}C = \left\{ {z:\,{\mathop{\rm Re} olimits} (1 - i)z) = \sqrt 2 \,} \right\}

Let z be any point in

A \cap B \cap C

Then,

{\left| {z + 1 - i} \right|^2} + {\left| {z - 5 - i} \right|^2}

lies between :

A
25 and 29
B
30 and 34
C
35 and 39
D
40 and 44

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