February 19, 2017

Homework Help: Math (Pre Cal)

Posted by Dealie on Saturday, August 28, 2010 at 11:57pm.

Hi, I am studying for a precalculus quiz and I do not understand this hw problem:

"The tangent line to a circle may be defined as the point that intersects a circle in a single point... If the equation of the circle is x^2+y^2=r^2 and the equation of the tangent line is y=mx+b show that:

a. r^2(1+m^2)=b^2 [Hint: the quadratic equation x^2+(mx+b)^2=r^2 has exactly one solution]
b.the point of tangency is (-r^2m/b,r^2/b)
c. the tangent line is perpendicular to the line containing the circle and the point of tangency

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