The equation `sqrt((x - 2)^2 + y^2) + sqrt((x+2)^2 + y^2) = 4` represents

If the equation |sqrt((x - 1)^(2) + y^(2) ) - sqrt((x + 1)^(2) + y^(2))| = k represents a hyperbola , then k belongs to the set

The equation sqrt((x-4)^(2)+y^(2))+sqrt((x+4)^(2)+y^(2))=6 represents

Equation sqrt((x-5)^(2)+y^(2))+sqrt((x+5)^(2)+y^(2))=20 represents

The equation sqrt((x-4)^(2)+(y-2)^(2))+sqrt((x+4)^(2)+(y-2)^(2))=8 represents a

Prove the equation sqrt((x + 4)^(2) + (y + 2)^(2)) - sqrt((x-4)^(2) + (y - 2)^(2)) = 8 represents a hyperbola.

If the equation x^(2)+2sqrt(2)xy+2y^(2)+4x+4sqrt(2)y+1=0 represents tangets to same circle then circumference of circle is

Solve the equation sqrt(x^(2)+12y)+ sqrt(y^(2)+12x)=33,x+y=23.