Question

Question...

Answer 1

If \[z _{1}=1-i ,z_{2}=7+i\]

then the modulus of

\[\frac{ z _{1}-z _{2} }{ z _{1}z _{2} }\]

Answer 2

looks like no one is interested in helping me :D

Answer 3

@ash2326 @phi

Answer 4

I tried to Solve it

And got the final expression as

\[\frac{ -6-2i }{ 8-6i }\]

Do I apply the modulus now ?

Answer 5

First find z1-z2
and z1 z2
Then take the modulus of both and divide

Answer 6

@ash2326 I think you did not see my comment

Answer 7

I moreover simplified it to

\[-3-i/4-3i\]

Answer 8

Now find modulus of -3-i
and find modulus of 4-3i
and divide both

Answer 9

Taking a conjugate would help ?

Answer 10

Well @ash2326 I tried it that way but it didn't help :(

Answer 11

Are you getting a wrong answer?

Answer 12

multiply numerator and denominator by 4+3i it will make the problem more easier

Answer 13

@ash2326 Yes

Answer 14

@niksva This is what we call a conjugate and i was asking that only ?

Answer 15

Answer is
\[\frac{\sqrt {10}}{5}\]
What did you get?

Answer 16

@hba i know what is meant by conjugate
i m telling u to rationalize the function

Answer 17

\[2\sqrt{2}/7\]

Answer 18

LoL :D

Answer 19

You made a mistake here. Let me show \[-3-i/4-3i\]
\[|-3-i|=\sqrt{(-3)^2+(-1)^2}=\sqrt{10}\]
\[|4-3i|=\sqrt{(4)^2+(-3)^2}=\sqrt {25}=5\]
so you'd get
\[\frac{\sqrt{10}}{5}\]

Answer 20

Thanks A Lot @ash2326