Which complex number has a distance of √17 from the origin on the complex plane?
2 answers:
Answer:
The complex number 4-i has distance
from origin.
D is correct
Step-by-step explanation:
We are given the absolute value of complex plane.
If complex number is a+ib then absolute value 
We have to check the absolute value of each option and check which is equal to 
Option A: 2+15i

Option B: 17+i

Option C: 20-3i

Option D: 4-i

Hence, The complex number 4-i has distance
from origin.
Let the complex number be x + iy
Then by the pythagoras therem
17 = x^2 + y^2
D will satisfy this equation
4^2 + (-1)^2 = 17
answer is D 4 - i
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