Let `A, B, C` be three points in a straight line. B lying between `A and C.` Consider all circles passing through `B and C.` The points of contact of the tangents from A to these circle lie on

If A. B and C are three points on a line, and B lies between A and C then prove that A B+B C=A C .

A straight line passing through a point on a circle is

The centre of circle passing through three non collinear points A,B,C is the concurrent point of

The centre of circle passing through three non collinear points A,B,C is the concurrent point of

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 circle passes through a fixed point A and cuts two perpendicular straight lines through A in B and C. If the straight line BC passes through a fixed-point (x_(1), y_(1)) , the locus of the centre of the circle, is

A circle passes through a fixed point A and cuts two perpendicular straight lines through A in B and C. If the straight line BC passes through a fixed-point (x_(1), y_(1)) , the locus of the centre of the circle, is

A straight line x+2y=1 cuts the x and y axis at A and B.A circle passes through point A and B and origin.Then the sum of length of perpendicular from A and B on tangent of the circle at the origin is