Consider the circle `x^2+y^2-10x-6y+30=0`. Let O be the centre of the circle and tangent at A(7,3) and B(5, 1) meet at C. Let S=0 represents family of circles passing through A and B, then

Let A(3, 7) and B(6, 5) are two points. C:x^(2)+y^(2)-4x-6y-3=0 is a circle. Q. The chords in which the circle C cuts the members of the family S of circle passing through A and B are concurrent at:

Tangents drawn from P(1, 8) to the circle x^2 +y^2 - 6x-4y - 11=0 touches the circle at the points A and B, respectively. The radius of the circle which passes through the points of intersection of circles x^2+y^2 -2x -6y + 6 = 0 and x^2 +y^2 -2x-6y+6=0 the circumcircle of the and interse DeltaPAB orthogonally is equal to

Tangents AB and AC are drawn to the circle x^(2)+y^(2)-2x+4y+1=0 from A(0,1) then equation of circle passing through A,B and C is

Tangents drawn from (2, 0) to the circle x^2 + y^2 = 1 touch the circle at A and B Then.

Consider the family of circles x^(2)+y^(2)-2x-2ay-8=0 passing through two fixed points A and B . Also, S=0 is a cricle of this family, the tangent to which at A and B intersect on the line x+2y+5=0 . If the circle x^(2)+y^(2)-10x+2y=c=0 is orthogonal to S=0 , then the value of c is

The centre of the circle passing through the points (0,0), (1,0) and touching the circle x^2+y^2=9 is

Consider the family of circles x^(2)+y^(2)-2x-2ay-8=0 passing through two fixed points A and B . Also, S=0 is a cricle of this family, the tangent to which at A and B intersect on the line x+2y+5=0 . The distance between the points A and B , is

let the point B be the reflection of the point A(2,3) with respect to the line 8x-6y-23=0. let T_(A) and T_(B) be circles of radii 2 and 1 with centres A and B respectively. Let T be a common tangent to the circles T_(A) and T_(B) such that both the circles are on the same side of T . if C is the point of intersection of T and the line passing through A and B then the length of the line segment AC is

If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord to the circle with centre (2, 1), then the radius of circle is:

The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on it and with the centre on x+y=5 , is