Only one circle can be drawn through three non-colinear points.

Write True or False: Only one circle can be drawn through three collinear points.

Let's try and find the answers : (iii) How many line segments can be drawn through three non-collinear points.

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.

Only one circle can be throught three collinear points .

if three points are collinear , how many circles can be drawn through these points? Now, try to draw a circle passing through these three points.

Write True or False Only one circle can be drawn which touches the all sides or extended sides of a triangle.

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is (A) 116 (B) 120 (C) 117 (D) none of these

Let's try and find the answers : (i) How many strainght lines can be drawn through one fixed point.

AB is a diameter of a circle with centre O , P is any point on the circle, the tangent drawn through the point P intersects the two tangents drawn through the points A and B at the points Q and R respectively. If the radius of the circle be r , then prove that PQ.PR=r^(2) .

Statement 1: there exists a unique sphere which passes through the three non-collinear points and which has the least radius. Statement 2: The centre of such a sphere lies on the plane determined by the given three points.