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give me some difficult questions on complex numbers
Dear student
Solve these ques:
1)Calculate all integers n such that zn = (1 + i sqrt(3))n is a real number.
2)Given: z not real and |z|= 1
z-1Show that w = --- is a pure imaginary number. z+1
is the answer x=100?? if yes pls approv otherwise pls tell the answer..
Q) Let P(expiθ1) , Q(expiθ2) and R(expiθ3) be the vertices of a triangle PQR in the argand plane. The orthocenter of the triangle PQR is ?
A) expi(θ1+θ2+θ3) B) 2/3expi(θ1+θ2+θ3) C)expiθ1+expiθ2+expiθ3 D)none of these
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