Circles passing through one, two and three points || Circle || Class 10th SSC || Galaxy of Maths |#3

Through three collinear points a circle can be draw.

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

The circle passing through the point (-1,0) and touching the y -axis at (0,2) also passes through the point:

If a circle passes through four points, then the four points are said to be……………………

A parabola y^(2)=4axandx^(2)=4by intersect at two points. A circle is passed through one of the intersection point of these parabolas and touch the directrix of first parabola then the locus of the centre of the circle is

Equation of the circle passing through the three points (0, 0) , (0,b) and (a,b) is

Circle with center (2,3) passes through origin . P , Q are two points on the circle such that OC is perpendicular to both CP and CQ then find the point P and Q