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1 Apr 2020
Consider the tangent line to the ellipse
at a point
in the first quadrant.
(a) Show that the tangent line has x-intercept
and y-intercept
.
(b) Show that the portion of the tangent line cut off by the coordinate axes has minimum length
.
(c) Show that the triangle formed by the tangent line and the coordinate axes has minimum area ab.
Consider the tangent line to the ellipse at a point
in the first quadrant.
(a) Show that the tangent line has x-intercept and y-intercept
.
(b) Show that the portion of the tangent line cut off by the coordinate axes has minimum length .
(c) Show that the triangle formed by the tangent line and the coordinate axes has minimum area ab.
Jean KeelingLv2
14 May 2020