IIT JEE 2006 Paper : MATHEMATICS Section I - Multiple Choice

Each question below has only one correct answer.
In the IIT-JEE, you will be awarded 3 marks for each correct answer and −1 for each incorrect answer.
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Multiple choice

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Consider a complex number ω = a + ib, b ¹ 0. It satisfies the condition that [ (ω − ω cz) / (1 − z) ]  is real where z ¹ 1 and ω c is the complement of ω. Then the set of values of z is   {z : |z| ¹ 1}   {z : z c = z}   {z : |z| = 1}   {z : |z| = 1, z ¹ 1}   Hint Half-n-half Clue

 

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