Draw the circles of different radii. How many points, these circles can have in common ? What is the maximum number of common points ?

Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points?

How many radii does a circle have?

How many tangents can a circle have?

Find the maximum number of points of intersection of 6 circles.

For how many values of p, the circle x^2+y^2+2x+4y-p=0 and the coordinate axes have exactly three common points?

If two circles intersect in two points, prove that the line through the centres is the perpendicular bisector of the common chord.

Draw a circle of radius 3.5 cm . Take a point P outside the circle at a distance of 7 cm from the centre of the circle and construct a pair of tangents to the circle from the point.

Draw a circle of radius 3.5 cm. Take a point P outside the circle at a distance of 7 cm from the centre of the circle and construct a pair of tangents to the circle from the point.

Two circles of unequal radii have four common tangents. A transverse common tangent meets the direct common tangents at the points P & Q . If length of direct tangent (between the point of contacts) is 8 then length of PQ is

The opposite sides of a quadrilateral have (a) no common point (b) one common point (c) two common points (d) Infinitely many common points