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#1 2016-11-17 14:38:49

dazzle1230
Member
Registered: 2016-05-17
Posts: 92

Please Help Algebra

Circle

intersects the hyperbola
at
, and two other points. What is the product of the y coordinates of the other two points?

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#2 2016-11-17 16:07:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Please Help Algebra

Is that Circle called Gamma?

What did you get for an answer? Did you have a guess?

Did you draw an accurate graph of the problem? Here is one possible solution.

lezBMcC.png

Does that give you an idea? Is it possible to have all 4 points in the first quadrant?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2016-11-17 21:28:21

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Please Help Algebra


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#4 2016-11-18 10:16:59

dazzle1230
Member
Registered: 2016-05-17
Posts: 92

Re: Please Help Algebra

Thank you so much!

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#5 2016-11-18 19:51:06

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Please Help Algebra

hi dazzle,
Have you realized there are infinite number of circles meeting the criterion but product of y coordinates remaining constant?


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#6 2016-11-19 09:26:37

dazzle1230
Member
Registered: 2016-05-17
Posts: 92

Re: Please Help Algebra

yup, I understand that!

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#7 2017-04-08 16:56:07

Shrimpy
Member
Registered: 2017-02-03
Posts: 4

Re: Please Help Algebra

Why is the equation of the circle different from what I got when I expanded (x – h)^2 + (y – k)^2 = r^2?

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#8 2017-04-08 17:00:59

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Please Help Algebra

What did you do?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#9 2017-04-09 00:28:19

iamaditya
Member
From: Planet Mars
Registered: 2016-11-15
Posts: 821

Re: Please Help Algebra

Hi;

Shrimpy wrote:

Why is the equation of the circle different from what I got when I expanded (x – h)^2 + (y – k)^2 = r^2?

It is an equation of a circle at a point (h,k). If you want an circle at the origin [(0,0)] then h and k are both 0 and hence the equation is x^2-y^2=r^2.


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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#10 2017-04-09 00:48:53

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,432
Website

Re: Please Help Algebra

iamaditya wrote:

x^2-y^2=r^2.

Should be a + symbol there -- your equation is a (rectangular) hyperbola.

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#11 2017-04-09 01:37:10

iamaditya
Member
From: Planet Mars
Registered: 2016-11-15
Posts: 821

Re: Please Help Algebra

Oh..oh I'm sorry.


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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