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28 Apr 2020
A tangent line is drawn to the hyperbola xy − c at a point P.
(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.
A tangent line is drawn to the hyperbola xy − c at a point P.
(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.
Sixta KovacekLv2
23 May 2020
times the area of the inscribed triangle ABC. Verify the Archimedes’ result for the parabola 
and the line
.
is called a serpentine. Find an equation of the tangent line to this curve at the point 
.
