" vii) "y^(2)=6(x+y)

x^(2)dx-y^(2)dy+xdx=dy-ydy-dx A) 2(x^(3)-y^(3))-3(x^(2)+y^(2))+6(x-y)=c B) 2(x^(3)-y^(3))+3(x^(2)-y^(2))+6(x+y)=c C) 2(x^(3)-y^(3))-3(x^(2)+y^(2))-6(x-y)=c D) 2(x^(3)-y^(3))+3(x^(2)+y^(2))+6(x-y)=c

If the circle x^(2) + y^(2) + 6x - 2y + k = 0 bisects the circumference of the circle x^(2) + y^(2) +2x - 6y - 15 = 0 , then k =

Find the internal centre of similitude for the circles x^(2) + y^(2) + 6x - 2y + 1 =0 and x^(2) + y^(2) - 2x - 6y + 9 = 0 .

If the circel x ^(2) +y^(2) +6x -2y +k=0 bisects the circumference of the circel x ^(2) +y^(2) +2x -6y-15=0, then the value of k is-

Show that the circles x^(2) + y^(2) + 6x + 2y + 8 = 0 and x^(2) + y^(2) + 2x + 6y + 1 = 0 intersect each other.

The circles x^(2)+ y^(2) -6x-2y +9 = 0 and x^(2) + y^(2) =18 are such that they :

The circles x^(2)+ y^(2) -6x-2y +9 = 0 and x^(2) + y^(2) =18 are such that they :

The line x + 3y = 0 is a diameter of the circle x^(2) + y^(2) + 6x + 2y = 0 .

Number of common tangents to the circles C_(1):x ^(2) + y ^(2) - 6x - 4y -12=0 and C _(2) : x ^(2) + y ^(2) + 6x + 4y+ 4=0 is