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give me some difficult questions on complex numbers

give me some difficult questions on complex numbers

Grade:11

3 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

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-1
Show that w = --- is a pure imaginary number.
z+1
Giri Gaurav Bhatnagar
18 Points
10 years ago

is the answer x=100?? if yes pls approv otherwise pls tell the answer..

Ankit Sinha
19 Points
8 years ago

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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