AB is a chord of the circle `x^2 +y^2-2x + 4y-20 =0`. If the tangents at A and B are inclined at `120^@`, then AB is

AB is a chord of the circle x^(2)+y^(2)=9 .The tangents at A and B intersect at C. If M(1,2) is the midpoint of AB,then the area of triangle ABC is

AB is a chord of the circle x^(2)+y^(2)=25. The tangents of A and B intersect at C. If (2,3) is the mid-point of AB,then area of the quadrilateral OACB 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

A tangent is drawn to the circle 2x^(2) + 2y^(2) -3x + 4y = 0 at the point 'A' and it meets the line x+y=3 at B(2,1) then AB=

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then a and b are

Tangents are drawn from (4, 4) to the circle x^(2) + y^(2) – 2x – 2y – 7 = 0 to meet the circle at A and B. The length of the chord AB is

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

AB is any chord of the circle x^2+y^2-6x-8y-11=0 which subtends an angle pi/2 at (1,2) . If locus of midpoint of AB is a circle x^2+y^2-2ax-2by-c=0 ; then find the value of (a+b+c) .