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#1 2013-08-21 12:42:49

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

analystic geometry problems

1. Points A and B are in the first quadrant, and O = (0,0) is the origin. (A point is in the first quadrant if both coordinates are positive.) If the slope of \overline{OA} is 1 and the slope of \overline{OB} is 7, and OA = OB, then compute the slope of \overline{AB}.

2. The line y = (3x + 7)/4 intersects the circle x^2 + y^2 = 25 at A and B. Find the length of chord \overline{AB}.

3. The lines y = \frac{5}{12} x and y = \frac{4}{3} x are drawn in the coordinate plane. Find the slope of the line that bisects these lines.


Genius is one percent inspiration and ninety-nine percent perspiration

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#2 2013-08-21 12:53:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,791

Re: analystic geometry problems

Hi;


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 2013-08-23 15:43:10

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

Re: analystic geometry problems

Thanks i now know how to do 1 and 3 but i still don't really get no. 2, can you please explain how to do it


Genius is one percent inspiration and ninety-nine percent perspiration

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#4 2013-08-23 15:44:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,791

Re: analystic geometry problems

One way would be to substitute the linear equation into the equation of the circle and solve for the points of intersection. Then to use the distance formula. Or you can use geogebra.


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 2013-08-23 15:46:33

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

Re: analystic geometry problems

ok, thanks, i think the easiest is the distance formula one


Genius is one percent inspiration and ninety-nine percent perspiration

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#6 2013-08-24 08:51:32

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,791

Re: analystic geometry problems

Hi;

Got the answer yet or how far along are you?


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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