Draw circle passing through A, B where AB = 5.4cm

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.

Show that, x = (1)/(2)(3+5 cos theta), y = (1)/(2)(-4 + 5 sin theta) represent a circle passing through the origin. Find the coordinates of centre and length of radius of the circle.

Construct a circumcircle of the triangle ABC where AB = 5cm, angleB = 75^@ and BC = 7cm

AB is a diameter of a circle. BP is a tangent to the circle at B . A straight line passing through A intersects BP at C and the circle at D . Prove that BC^(2)=ACxxCD .

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x+y=16 .

In two circles , one circle passes through the centre O of the other circle and they intersect each other at the points A and B . A straight line passing through A intersect the circle passing through O at the point P and the circle with centre at O at the point R . BY joining P , B and R , B prove that PR= PB.

A variable circle passes through the point A(a, b) and touches the x-axis. Show that the locus of the other end of the diameter through A is (x-a)^2 = 4by

The circle passing through (1, - 2) and touching the axis of x at (3, 0) also passes through the point

A ray of light passing through the point A(1,2) is reflected at a point B on the x-axis and then passes through (5,3). Then the equation of AB is:

If a line passing through the origin touches the circle (x-4)^2+(y+5)^2=25 , then find its slope.