Two different points P and Q are given on one side of line AB. Draw a circle passing through the points P and Q touching the line AB in point R.

mark any two points P and Q in your note book and draw a line passing through the points.How many lines can you draw passing through both the points?

Find the slope of the lines passing through the given points P(-3, 1) and Q(5, -2)

Find the coordinates of centre of the circle passing through the points P(6,-6),Q (3,-7) and R(3,3)

Find the centre and radius of the circle passing through the points P (-7,4) ,Q(0,3) and R (-4,5)

Find the standard equation of the circle passing through the points P(3, 8) , Q(9 ,6) and R(13, -2) .

In the given figure, AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the perpendicular bisector of AB.

In the figure, all three sides of a triangle ABC touch the circle at points P, Q and R. Find the value of x.