Mathematics, 28.02.2020 05:24 wellllm
On a single set of axes, sketch a picture of the graphs of the following four equations: y = −x+ √ 2, y = −x− √ 2, y = x+ √ 2, and y = x − √ 2. These equations determine lines, which in turn bound a diamond shaped region in the plane.
(a) Show that the unit circle sits inside this diamond tangentially; i. e. show that the unit circle intersects each of the four lines exactly once.
(b) Find the intersection points between the unit circle and each of the four lines.
(c) Construct a diamond shaped region in which the circle of radius 1 centered at (−2, − 1) sits tangentially. Use the techniques of this section to help.
Answers: 1
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On a single set of axes, sketch a picture of the graphs of the following four equations: y = −x+ √ 2...
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