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1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the ellipse x² + 4y² = 16 at right angles. Find the radius of the circle.

1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the ellipse x² + 4y² = 16 at right angles. Find the radius of the circle.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.2: Ellipses
Problem 64E
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1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the ellipse x² + 4y² = 16 at right angles. Find the radius of the circle. 2. The vertex of the parabola y² = 8x is the center of an ellipse. The focus of the parabola is an end of the minor axis of the ellipse, and the parabola and the ellipse intersect at right angles. Find the equation of the ellipse.
Transcribed Image Text:1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the ellipse x² + 4y² = 16 at right angles. Find the radius of the circle. 2. The vertex of the parabola y² = 8x is the center of an ellipse. The focus of the parabola is an end of the minor axis of the ellipse, and the parabola and the ellipse intersect at right angles. Find the equation of the ellipse.
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