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?
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??
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?
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 y-axis. All of these questions involve nothing more than 10th grade geometry. So you should be able to complete these easily.