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IIT Previous Years Solved Examples : Complex Number

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LIKE TO JOIN ON FACEBOOK ( click here ) Ques ( JEE Main 2013) : If z is a complex number of unit modulus and argument  , then   is equal to a) -                           b)                         c)                          d)  Solution: Since |z| = 1,  Always remember,   or,       ( as |z| = 1) Therefore,   , Correct option is (c) Ques: (JEE Advanced 2013) Let    and  . Further   and   where C is the set of all complex numbers, if    and   and O represents the origin, then angle     is equal to (a) pi/2                     (b)  pi/6           ...