" (v) "x^(2)+4y^(2)=8" and "x^(2)-2y^(2)=2

Show that the following set of curves intersect orthogonally: y=x^(3) and 6y=7-x^(2)x^(3)-3xy^(2)=-2 and 3x^(2)y-y=2x^(2)+4y^(2)=8 and x^(2)-2y^(2)=4

Find the angle of intersection of curve x^2+4y^2=8 and x^2-2y^2=2

Find the angle of intersection of curve x^2+4y^2=8 and x^2-2y^2=2

The equation of the circle passing through the point of intersection of the circles x^(2)+y^(2)-4x-2y=8 and x^(2)+y^(2)-2x-4y=8 and (-1,4) is (a)x^(2)+y^(2)+4x+4y-8=0(b)x^(2)+y^(2)-3x+4y+8=0(c)x^(2)+y^(2)+x+y=0(d)x^(2)+y^(2)-3x-3y-8=0

The angle between the curve 2x^(2)+y^(2)=20 and 4y^(2)-x^(2)=8 at the point (2sqrt(2),2) is

Find the equation of the cirlcle which cuts orthogonally the three circles x^(2)+y^(2)+2x+4y+1=0,2(x^(2)+y^(2))+6x+8y-3=0 and x^(2)+y^(2)-2x+6y-3=0

The point of tangency of the circles x^(2)+y^(2)-2x-4y=0 and x^(2)+y^(2)-8y-4=0 is

The equation of a circle which cuts the three circles x^(2)+y^(2)+2x+4y+1=0,x^(2)+y^(2)-x-4y+8=0 and x^(2)+y^(2)+2x-6y+9=0 orthogonlly is

The number of common tangents to the circle x^(2)+y^(2)-2x-4y-4=0 and x^(2)+y^(2)+4x+8y-5=0 is _________.