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

A ABC is inscribed in a circle with centre o and radius 5 cm and AC is a diameter of the circle. If AB = 8 cm, then BC = ......... cm.

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

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) .

In a triangle ABC if angle ABC=60^(@) , then ((AB-BC+CA)/(r ))^(2)=

If coordinates of the vertices A, B, C of a triangle ABC are (6, 0), (0, 6) and (7, 7) respectively, then centre of the circle touching AB externally and BC and CA produced is

Let ABC be a triangle such that AB = 4, BC = 5 and CA = 6. Choose points D,E,F on AB, BC, CA respectively, such that AD = 2, BE = 3, CF=4. Then ("area"DeltaDEF)/("area"DeltaABC) is

Delta ABC is an isosceles triangle and AB = AC. If all the sides AB. BC and CA of a Delta ABC touch a circle at D, E and F respectively. Then BE is equal to :