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

Consider the circle: x^2+y^2=r^2 with centre O. A and B are collinear with O such that OA. OB=r^2. The number of circles passing through A and B, which are orthogonal to the circle C is

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:

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

Let (a, b) is the midpoint of the chord AB of the circle x^2 + y^2 = r^2. The tangents at A and B meet at C, then the area of triangle ABC

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

If tangent at (1,2) to the circle x^(2)+y^(2)=5 intersect the circle x^(2)+y^(2)=9 at A and B and tangents at A and B meets at C. Find the coordinate of C

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 Delta PAB orthogonally is equal to

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

The diameters of a circle are along 2x+y-7=0 and x+3y-11=0. Then the equation of this circle,whichalso passes through (5,7) is