S(x,y)=0 represents a circle. The equation S(x,2)=0 gives two identical solutions x=1 and the equation S(1,y)=0 gives two distinct solutions y=0,2 then the equatino of the circle is

S(x,y)=0 represents a circle.The equation S(x,2)=0 gives two identical solutions: x=1. The equation S(1,y)=0 given two solutions: y=0,2. Find the equation of the circle.

Find the solution of the pair of equations: x-y+1=0, 3x+2y-12=0

If x-y+1=0 meets thwe cicle x^(2)+y^(2)+y-1=0 at a and b, then the equation of the circle with ab as diameter, is

Find the equation of the two tangents from the point (0,1) to the circle x^(2)+y^(2)-2x+4y=0

If a circle S(x,y)=0 touches the point (2,3) of the line x+y=5 and S(1,2)=0, then radius of such circle is (1)/(sqrtlamda) units then the value of lamda is.

If y+3x=0 is the equation of a chord of the circle,x^(2)+y^(2)-30x=0, then the equation of the circle with this chord as diameter is:

The equations of two diameters of a circle are x-2y+1=0 and x+y-2=0 and the length of the chord intercepted on the straight line 3x+4y+8=0 by the circle is 6 units. Find the equation of the circle.

The line x+2y+a=0 intersects the circle x^2+y^2-4=0 at two distinct points A and B. Another line 12x-6y-41=0 intersects the circle x^2+y^2-4x-2y+1=0 at two distincts points C and D. The value of 'a' so that the line x+2y+a=0 intersects the circle x^2+y^2-4=0 at two distinct points A and B is