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Theorem 10.5 : There is one and only one...

Theorem 10.5 : There is one and only one circle passing through three given non-collinear points.

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There is one and only circle passing through three non-collinear points.

Theorem:- 3 There is one and only one circle passing through three non collinear points and If two circles intersects in two points; then the line joining the centres is perpendicular bisector of common chords

Statement 1: The differential equation of all circles in a plane must be of order 3. Statement 2: There is only one circle passing through three non-collinear points.

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What is the number of planes passing through three non-collinear points?

Only one line can pass through a given point.