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.

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

. The equation of the circle passing through three non-collinear points P(x_(1),y_(1))Q(x_(2),y_(2)) and R(x_(3),y_(3)) is

The radius of a circle is 5cm. Find the length of its longest chord. (ii) write the method to determine the centre of a circle passing through three non-collinear points. (iii) Arc of a circle is given. How will you complete the circle?

Find the equation of the circle passing through the three non-collinear points (1,1),(2,-1) and (3,2) .

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

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