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#1 2013-08-22 10:42:49

mathstudent2000
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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

#2 2013-08-22 10:53:03

bobbym

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Re: analystic geometry problems

Hi;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2013-08-24 13:43:10

mathstudent2000
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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

#4 2013-08-24 13:44:47

bobbym

Online

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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#5 2013-08-24 13:46:33

mathstudent2000
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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

#6 2013-08-25 06:51:32

bobbym

Online

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 have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.