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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: 88,882

Re: geometry problems

Hi mathstudent2000;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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: 88,882

Re: geometry problems

Who said it was 20 / 3?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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: 88,882

Re: geometry problems

Hi;

We are all done here?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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