`B` and `C` are points on the circle `x^2+y^2=a^2`, A point `A(b, c)` lies on that circle such that `AB=AC=d`, the equation to `BC` is

x ^(2) +y ^(2) =a ^(2) is the standard equation of a circle centred at (0,0) and radius is a. Paramatric Equation to Standard Circle: Parametric Equation for the circle x^(2) +y ^(2) =a ^(2) is x =a cos theta, y =a sin theta. Director Circle: Director circle is the locus of point of intersection of two perpendicular tangents. Two points A (-30^(@)) and B (150^(@)) lies on circle x ^(2) +y ^(2) =9. The point (theta) which moves on a circle such that area of Delta PAB is maximum, is/are

A tangent at a point on the circle x^(2)+y^(2)=a^(2) intersects a concentric circle C at two points P and Q. The tangents to the circle X at P and Q meet at a point on the circle x^(2)+y^(2)=b^(2). Then the equation of the circle is x^(2)+y^(2)=abx^(2)+y^(2)=(a-b)^(2)x^(2)+y^(2)=(a+b)^(2)x^(2)+y^(2)=a^(2)+b^(2)

Consider the circle x^2 + y^2 + 4x+6y + 4=0 and x^2 + y^2 + 4x + 6y + 9=0, let P be a fixed point on the smaller circle and B a variable point on the larger circle, the line BP meets the larger circle again at C. The perpendicular line 'l' to BP at P meets the smaller circle again at A, then the values of BC^2+AC^2+AB^2 is

A,B,C,D are four consecutive points on a circle such that AB=CD .Prove that AC=BD

From the point (-1,1) , two tangents are drawn to x^2+y^2-2x-6y+6=0 that meet the circle at A & B . A point D on the circle such that AD=AB then find the area of DeltaABD

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

Consider the two circles C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb) Let A be a fixed point on the circle C_(1) , say A(a,0) and B be a variable point on the circle C_(2) . The line BA meets the circle C_(2) again at C. 'O' being the origin. If (BC)^(2) is maximum, then the locus of the mid-piont of AB is