CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Modulus of a Complex Number

Find the dist...

Question

Find the distance between two complex numbers $z_{1} = 2 + 3 i$ & $z_{2} = 7 - 9 i$ on the complex plane

Open in App

Solution

We have $z_{1} = 2 + 3 i$ and $z_{2} = 7 - 9 i .$
This is equivalent to having two points in the plane, with coordinates $(2, 3)$ and $(7, - 9)$
Thus, distance between the two points is $\sqrt{(2 - 7)^{2} + (3 + 9)^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the distance between two complex nymbers

z_{1} = 2 + 3 i

z_{2} = 7 - 9 i

on the complex plane.

Z_{1} = 2 + 3 i

z_{2} = 3 + 4 i

be two points on the complex plane. Then the set of complex numbers z satisfying

| z - z_{1} |^{2} + | z - z_{2} |^{2} = | z_{1} - z_{2} |^{2}

z_{1} = 2 + 3 i

z_{2} = 3 + 4 i

be two points on the complex plane. Then, the set of complex number

z

{| z - z_{1} |}^{2} + {| z - z_{2} |}^{2} = {| z_{1} - z_{2} |}_{1}^{2}

Q. The complex numbers

z_{1} = 8 + 9 i, z_{2} = 4 - 6 i

z_{1} - z_{2}

Q. Indicate the point of the complex plane

z

which satisfy the following equation.
Prove that

| z_{1} + z_{2} |^{2} + | z_{1} - z_{2} |^{2} = 2 (| z_{1} |^{2} + | z_{2} |^{2})

for any two complex numbers

z_{1}

z_{2} .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Geometric Representation and Trigonometric Form

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Modulus of a Complex Number

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon