My Math Forum Problem involving a unit circle and two other coordinates

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April 3rd, 2019, 12:44 PM   #11
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Quote:
 Originally Posted by R4tt3xx What if A was at any location within the circle of radius 1 ? Sorry for asking another question...
Find the equation for line AB and determine its intersection with the unit circle.

April 3rd, 2019, 01:08 PM   #12
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Quote:
 Originally Posted by skeeter Find the equation for line AB and determine its intersection with the unit circle.
Yes exactly how do I do that ? What web resources are out there that I can look at ?

Thanks Again.

 April 3rd, 2019, 01:13 PM #13 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,838 Thanks: 653 Math Focus: Yet to find out. Thanks from topsquark
 April 3rd, 2019, 03:49 PM #14 Global Moderator   Joined: Dec 2006 Posts: 20,978 Thanks: 2229 Using (x, y) Cartesian coordinates for A and B, if these points have different x-coordinates, the line through A and B has equation y = mx + c, where m and c are values determined from the coordinates of A and B. The above-mentioned circle of radius 1 has equation x² + y²= 1. To find where the circle and line intersect, substitute mx + c for y in the equation of the circle and solve the resulting equation for x. That will give 2 possible values for the x-coordinate of the point of intersection. Only one of these values will lie between the x-coordinate values of the points A and B.

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