Compute equations for the following circles. Your answers must have the form (x – a)² + (y – )² = R², and a, b, and R² must not include approximations. The expressions for a, b, and R² should be simplified as much as possible. • Find the equation of a circle centered on point A(-3,4) with a radius of R= 5. • Find the equation of a circle centered on point A(5, –4) and that passes through the point B(9, -9). • Find the equation of a circle that has the line segment between the points A(7,–1) and B(3, –3) as its diameter.
Compute equations for the following circles. Your answers must have the form (x – a)² + (y – )² = R², and a, b, and R² must not include approximations. The expressions for a, b, and R² should be simplified as much as possible. • Find the equation of a circle centered on point A(-3,4) with a radius of R= 5. • Find the equation of a circle centered on point A(5, –4) and that passes through the point B(9, -9). • Find the equation of a circle that has the line segment between the points A(7,–1) and B(3, –3) as its diameter.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:R², and
Compute equations for the following circles. Your answers must have the form (x – a)? + (y – b)?
a, b, and R2 must not include approximations. The expressions for a, b, and R2 should be simplified as
much as possible.
-
• Find the equation of a circle centered on point A(-3, 4) with a radius of R = 5.
• Find the equation of a circle centered on point A(5, –4) and that passes through the point B(9, –9).
• Find the equation of a circle that has the line segment between the points A(7, – 1) and B(3, –3) as
its diameter.
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