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#1
Oct2511, 06:38 PM

P: 44

I need help with this question. I understand that logic behind it; as P approaches O the value the right bisector Q reaches it's maximum. I don't know how to show this algebraically however. Help?



#2
Oct2511, 06:51 PM

Mentor
P: 18,333

We give P the coordinates (x,y). We know that P is on the parabola, so we know that
[tex]P=(x,x^2)[/tex] Now, can you find the coordinates of the point Q?? 


#3
Oct2511, 06:57 PM

P: 44

Ok, so the bisector would intersect P at point x/2. Because I know that the x coordinate on Q is 0, how would I find it's y?



#4
Oct2511, 07:07 PM

Mentor
P: 18,333

A question on limits
Answer the following steps:
 Find the midpoint M between 0 en P.  Find the equation of the line L going through 0 and P  Find a vector perpendicular to the line L  Construct the equation of the line R going through M and perpendicular through L  Find Q as the intersection between R and the yaxis. All of these questions involve nothing more than 10th grade geometry. So you should be able to complete these easily. 


#5
Oct2511, 11:06 PM

P: 44

How do I show algebraically that Q approaches infinity as P approaches the origin?



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