Complex Numbers questions
4 published questions with worked solutions.
- Let a, b be two real numbers such that ab < 0. If the complex number 1+ai b+i is of unit modulus and a + ib lies on the circle |z...
- If the centre and radius of the circle | z-2 z-3 |=2 are respectively ( , ) and , then 3( + + ) is equal to
- Let a be two non-zero real numbers. Then the number of elements in the set X = Z C: Re(az^2+bz) = a and Re(bz^2+az) = b is
- For , , z C and >1, if -1 is the radius of the circle |z- |^2+|z- |^2=2 , then | - | is equal to __________.
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