Monday, January 12, 2009

question for quiz tomorrow

when you're trying to find the intersection of a line that is tangent to a circle when no equation for the circle is given but an equation for the radius of the circle is you would just find the slope of the lines and find where the intersect...correct? 

1 comment:

Maximillian said...

Basically so. I believe one would first find the slope of the line tangent to the circle using "m = -A/B". Then, since tangent lines are perpendicular to radii at that point, take the opposite reciprocal of said slope to get the slope of the radius. From there, you can graphically find an intersection point or use some algebraic method (possibly by solving a system?). And also, I think this type of problem is'a gonna be on the test, not the quiz. But don't quote me on that.