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#1 2013-06-13 03:35:41

{7/3}
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Registered: 2013-02-11
Posts: 210

Reciprocation

Given a circle (x-1)^2+(y+1)^2=16 and a point (5,6),what will be the reciprocation line of this point?


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#2 2013-06-22 09:52:58

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Reciprocation

Have you tried first finding the inverse of the point with respect to the circle?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#3 2013-06-22 12:50:00

{7/3}
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Registered: 2013-02-11
Posts: 210

Re: Reciprocation

I almost forgot about this problem,i'll try now


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#4 2013-06-23 11:35:28

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Reciprocation

How far did you make it with the problem?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#5 2013-06-23 13:10:45

{7/3}
Member
Registered: 2013-02-11
Posts: 210

Re: Reciprocation

Sorry,I won't be able to work on it for the next 9 hours,But i'll let you know what i get.


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#6 2013-06-23 17:27:23

{7/3}
Member
Registered: 2013-02-11
Posts: 210

Re: Reciprocation

Hi,if my calculations are correct then the inversion point is (129/65,47/65)
EDIT:the problem isn't as hard as i thaught,i am getting the line 4x+7y+13=0,is it correct?

Last edited by {7/3} (2013-06-23 17:52:26)


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#7 2013-06-23 23:47:26

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Reciprocation

Everything is correct except it should be -13 in the line equation. Good job!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#8 2013-06-24 00:10:01

{7/3}
Member
Registered: 2013-02-11
Posts: 210

Re: Reciprocation

Oh,yeah,thanks.


There are 10 kinds of people in the world,people who understand binary and people who don't.

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#9 2013-06-24 00:10:34

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Reciprocation

You're welcome.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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