Consider the diagram below in a two dimensional Cartesian x-y plane. The parabola is given by the equation y = kx² where k is a positive constant. The circle of radius r 'sits' on top of the parabola, i.e. the circle touches the parabola at two points. Determine c, which is the distance of the centre of the circle from the x-axis, in terms of k and r. circle o parabola x-axis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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Consider the diagram below in a two dimensional Cartesian x-y plane. The parabola is given
by the equation y = kr² where k is a positive constant. The circle of radius r 'sits' on top
of the parabola, i.e. the circle touches the parabola at two points. Determine c, which is the
distance of the centre of the circle from the x-axis, in terms of k and r.
parabola
circle
o
x-axis
Transcribed Image Text:Consider the diagram below in a two dimensional Cartesian x-y plane. The parabola is given by the equation y = kr² where k is a positive constant. The circle of radius r 'sits' on top of the parabola, i.e. the circle touches the parabola at two points. Determine c, which is the distance of the centre of the circle from the x-axis, in terms of k and r. parabola circle o x-axis
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