If A(-2,1),B(3,2),C(-1,-2) then the radical centre of the circles with AB,BC ,CA as a diameter is

ABC is a triangle. The radical centre of the circles with AB, BC , CA as the diameters is (-6, 5) . If A(3, 2), B(2, 1) then C=

If A(0,0),B(1,0) and C((1)/(2),(sqrt(3))/(2)) then the centre of the circle for which the lines AB,BC,CA are tangents is

If a^(2)+b^(2)+c^(2)=1, then the range of ab+bc+ca is

A straight line intersects thethree concentric circles at A, B, C. if the distance of line from the centre of the circles is 'P', prove that the area of the triangle formed by tangents to the circle at A, B, C is ((1)/(2P).AB.BC.CA) .

Find the coordinates of a point A, where AB is a diameter of a circle with centre C(2, -3) and the other end of the diameter is B(1, 4).

A(x_(1),y_(1))B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices and a,b and c are the sides BC,CA and AB of the triangle ABC respectively then the Coordinates of in centre are I=

If (2,1),(-1,-2),(3,3) are midpoints of sides BC,CA,AB of Delta ABC then the equation of AB is

Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2,-3) and B is the point (1,4).