I don't get what the question means. Please help me understand it.Points and represent the complex numbers and respectively in the Argand diagram.
If , and , , express and in terms of and .
Prove that when describes the portion of the imaginary axis between the points representing and , describes the whole of the positive imaginary axis.
Hmm shouldnt it be
??
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Here is the solution anyway:
Thus and .
Now P between i and -i means and .
This means and
Now since x = 0,
, so divide both sides by it
Its easy to prove that the above inequality holds only for .
But this means and thus when " describes the portion of the imaginary axis between the points representing and , describes the whole of the positive imaginary axis."