A tangent line is drawn to the hyperbola xy - c at a point P as shown
Question:
A tangent line is drawn to the hyperbola xy - c at a point P as shown in the figure.
(a) Show that the midpoint of the line segment cut from this tangent line by the coordinate axes is P.
(b) Show that the triangle formed by the tangent line and the coordinate axes always has the same area, no matter where P is located on the hyperbola.
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a y c y c Let P a c a The slope of the tangent line at a is ya ca 2 Its equation isycac...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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