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hba
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If \[z _{1}=1-i ,z_{2}=7+i\]
then the modulus of
\[\frac{ z _{1}-z _{2} }{ z _{1}z _{2} }\]
hba
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looks like no one is interested in helping me :D
hba
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@ash2326 @phi
hba
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I tried to Solve it
And got the final expression as
\[\frac{ -6-2i }{ 8-6i }\]
Do I apply the modulus now ?
ash2326
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First find z1-z2
and z1 z2
Then take the modulus of both and divide
hba
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@ash2326 I think you did not see my comment
hba
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I moreover simplified it to
\[-3-i/4-3i\]
ash2326
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Now find modulus of -3-i
and find modulus of 4-3i
and divide both
hba
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Taking a conjugate would help ?
hba
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Well @ash2326 I tried it that way but it didn't help :(
ash2326
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Are you getting a wrong answer?
niksva
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multiply numerator and denominator by 4+3i it will make the problem more easier
hba
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@ash2326 Yes
hba
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@niksva This is what we call a conjugate and i was asking that only ?
ash2326
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Answer is
\[\frac{\sqrt {10}}{5}\]
What did you get?
niksva
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@hba i know what is meant by conjugate
i m telling u to rationalize the function
hba
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\[2\sqrt{2}/7\]
hba
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LoL :D
ash2326
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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
\[\frac{\sqrt{10}}{5}\]
hba
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Thanks A Lot @ash2326