?Show that if is any real number, then there are exactly two lines of slope that are
Chapter 10, Problem 58(choose chapter or problem)
Show that if is any real number, then there are exactly two lines of slope that are tangent to the ellipse \(x^{2} / a^{2}+y^{2} / b^{2}=1\) and their equations are
\(y=m x \pm \sqrt{a^{2} m^{2}+b^{2}}\)
Equation Transcription:
Text Transcription:
x^2 / a^2 + y^2 / b^2 =1
y=mx plus minus sqrt a^2 m^2 + b^2
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