A circle passes through three points A, B and C with the line segment AC as its diameter. A lin...

Draw a line segment XY as the diameter of a circle .

If a number of circles pass through the end points P and Q of a line segment PQ, then their centres lie on the perpendicular bisector of PQ.

A circle passes through origin and touches the line y=x+2 with one of its diameters being y=x+1 ,then the centre of the circle

The radius of the circle passing through the point (6,2) and having x+y=6 as its normal and x+2y=4 as its diameter is :

A straight line passes through the point (2,3) and its segment intercepted between the axes is bisected at the point.Find its equation.

Find the equation of a line perpendicular to the line (x)/(a)+(y)/(b)-1 and passes through the mid-point of the line segment lying between the axes of the given line.

Find the slope of the line which passes through the origin and the mid-point of the line segment joining the points A (0, -4) and B (8, 0) .

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