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

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

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

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

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-2)^(2)+(y-1)^(2))-sqrt((x+2)^(2)+y^(2))|=c will represent a hyperbola if (A)c in(0,6)(B)c in(0,5)(C)c in(0,sqrt(17))(D)c in(0,sqrt(19))

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

The eccentricity of the conic represented by sqrt((x+2)^(2)+y^(2))+sqrt((x-2)^(2)+y^(2))=8 is