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JEE Main 2015 Mathematics question

MathematicsComplex NumbersJEE Main 2015

The largest value of , for which the region represented by the set is contained in the region represented by the set , is equal to:

Answer: (4)

Solution

First identify the second region. Writing , the condition squares to , i.e. , which simplifies to . This is a closed half-plane bounded by the line . The first region is the closed disc of centre and

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Question ID VK-115284