Question

What is the distance from the origin to point P graphed on the complex plane below?

4
3
2
4
-5-4-3-2-₁
√√7
√29
7
20
-2-
34 32 4
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2 3 45 x
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Submi

Answer 1

Explanation:

the point is (2, -5).

the origin is (0, 0).

the distance between 2 points is calculated via Pythagoras due right-angled triangles :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90° angle). a and b are the legs.

the direct distance is the Hypotenuse, and the x coordinate and y coordinate differences are the legs.

so,

distance² = (2 - 0)² + (-5 - 0)² = 2² + (-5)² = 4 + 25 = 29

distance = sqrt(29) = 5.385164807...

so, the second answer option is correct.