Let F be a subfield of R and P,Q points in the Euclidean plane whose coordinates lie

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Let F be a subfield of R and P,Q points in the Euclidean plane whose coordinates lie in F.

(a) The straight line through P and Q has an equation of the form ax + by + c = 0, with a,b,c ϵ F.

(b) The circle with center P and radius the line segment PQ has an equation of the form x² + y² + ax + by + c = 0 with a,b,c ϵ F.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 16, 2023 03:50 AM

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Let F be a subfield of R and P,Q points in the Euclidean plane whose coordinates lie

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a Let P x1 y1 and Q x2 y2 be two points in the plane with coordinates in F The equation of ...View the full answer

Algebra Graduate Texts In Mathematics 73

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