Answer: The tangent line to a circle may be defined as the

Chapter 1, Problem 52

(choose chapter or problem)

The tangent line to a circle may be defined as the line that intersects the circle in a single point, called the point of tangency. See the figure. If the equation of the circle is x2 + y2 = r2 and the equation of the tangent line is y = mx + b, show that: (a) r2 11 + m2 2 = b2 [Hint: The quadratic equation x2 + 1mx + b22 = r2 has exactly one solution.] (b) The point of tangency is -r2 m b , r2 b . (c) The tangent line is perpendicular to the line containing the center of the circle and the point of tangency

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back