Math Is Fun Forum

{7/3}

Member

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?

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

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Reciprocation

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

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“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
The knowledge of some things as a function of age is a delta function.

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: Reciprocation

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

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

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Reciprocation

How far did you make it with the problem?

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“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
The knowledge of some things as a function of age is a delta function.

{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.

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

{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)

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

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Reciprocation

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

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“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
The knowledge of some things as a function of age is a delta function.

{7/3}

Member

Registered: 2013-02-11

Posts: 210

Re: Reciprocation

Oh,yeah,thanks.

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

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Reciprocation

You're welcome.

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“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
The knowledge of some things as a function of age is a delta function.