If the equation of a circle is x 2 + y 2 = r 2 and the
Question:
If the equation of a circle is x2 + y2 = r2 and the equation of a tangent line is y = mx + b, show that:
(a) r2 (1 + m2) = b2 .The quadratic equation x2 + (mx + b)2 = r2 has exactly one solution.
(b) The point of tangency is
(c) The tangent line is perpendicular to the line containing the center of the circle and the point of tangency.
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a x mx b r 1 m x 2mbx b2 r2 0 The equation has one solution if a...View the full answer
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Related Book For 
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry
ISBN: 9780137945139
5th Edition
Authors: Michael Sullivan
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