The area of the circle (x+1)(x+2)+(y-1)(y+3)=0 is

The area of the circle (x-2)^(2)+(y-3)^(2)=32 below the line y=x+1 is

Centre of the circle (x - x_(1)) (x-x_(2)) + (y-y_(1)) (y- y_(2)) = 0 is

The area of the portion of the circle x^(2)+y^(2)=1 which lies inside the parabola y^(2)=1-x, is -

The radical centre of the circles x^(2) + y^(2) +1=0 , x^(2) + y^(2) - 2x - 3 = 0 " and " x^(2) + y^(2) - 2y - 3 = 0 is

The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

The tangents to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 then k=

A: The polar of (2,3) with respect to the circle x^(2)+y^(2)-4x-6y+5=0" is "2x+3y=0 R: The polar of (x_(1),y_(1)) with respect to the circle S=0" is "S_(1)=0

The tangent from the point of intersection of the lines 2x – 3y + 1 = 0 and 3x – 2y –1 = 0 to the circle x^(2) + y^(2) + 2x – 4y = 0 is