If point P(x, y) is such that it moves on a hyperbola `|sqrt((x-3)^2 +(y-4)^2)-sqrt(x^2+y^2)|=k^2` then number of possible integral values of k is

Number of possible integral values of sqrt(x-2)+sqrt(6-x) is

| The eccentricity of the hyperbola |sqrt((x-3)^(2)+(y-2)^(2))-sqrt((x+1)^(2)+(y+1)^(2))|=1 is

If the line 3x+4y=k is tangent to the circle x^2+y^2-2x-4y+4=0 , then number of integral values of k is

The eccentricity of the hyperbola (sqrt(2006))/(4) (x^(2) - y^(2))= 1 is

Let P(x, y) be a variable point such that |sqrt((x-1)^(2)+(y-2)^(2))-sqrt((x-5)^(2)+(y-5)^(2))=4 which represents a hyperbola. Q. Locus of point of intersection of two perpendicular tangents to the hyperbola is

If sqrt(a^(2)-x^(2))+sqrt(a^(2)-y^(2))=k(x-y) then (dy)/(dx)=

If the circle x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y=m at two distinct points, then the number of possible integral values of m is equal to