3. Find the general form of the equation of each circle with a) Center at (0,0) and passing through (1,5) Answer: r2+y² – 26 = 0 b) Same center as the circle r2 - 4x + y? – 6y + 3 = 0 and passing through (-2, 7) Answer: r + y² – 4x + 6y – 19 = 0

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.1: Distance And Midpoint Formulas; Circles
Problem 11.13TI: Write the standard form of the equation of the circle with center (2,1) that also contains the point...
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3. Find the general form of the equation of each circle with
a) Center at (0,0) and passing through (1,5)
Answer: a2 + y? – 26 = 0
b) Same center as the circle a2-4x + y? – 6y + 3 = 0 and passing through (-2, 7)
Answer: a2 + y? – 4x + 6y – 19 = 0
Transcribed Image Text:3. Find the general form of the equation of each circle with a) Center at (0,0) and passing through (1,5) Answer: a2 + y? – 26 = 0 b) Same center as the circle a2-4x + y? – 6y + 3 = 0 and passing through (-2, 7) Answer: a2 + y? – 4x + 6y – 19 = 0
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