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#1 2013-08-15 12:51:12

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

geometry problems

1. For some positive real number r, the line x + y = r is tangent to the circle x^2 + y^2 = r. Find r.

2. Find the center of the circle passing through the points (-1,0), (1,0), and (3,1). Express your answer in the form "(a,b)."

3. A line with slope 3 is 2 units away from the origin. Find the area of the triangle formed by this line and the coordinate axes.

4. Find the maximum value of y/x over all real numbers x and y that satisfy (x - 3)^2 + (y - 3)^2 = 6.


Genius is one percent inspiration and ninety-nine percent perspiration

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#2 2013-08-15 18:52:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: geometry problems

Hi mathstudent2000;


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-08-16 05:12:01

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: geometry problems

For no. 3 its not 20/3, but 6 because i tried it yesterday and got it correct


Genius is one percent inspiration and ninety-nine percent perspiration

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#4 2013-08-16 05:26:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: geometry problems

Who said it was 20 / 3?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#5 2013-08-17 04:42:47

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: geometry problems

sorry, i think i saw another problem's answer


Genius is one percent inspiration and ninety-nine percent perspiration

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#6 2013-08-17 04:49:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,665

Re: geometry problems

Hi;

We are all done here?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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