" The equation "(13x-1)^(2)+(13y-1)^(2)=k(5x-12y+1)^(2)" will represent a parabola if "

The equation |sqrt(x^(2)+(y-1)^(2))-sqrt(x^(2) +(y+1)^(2))| = k will represent a hyperbola for-

The set of values of 'a' for which (13 x-1 ) ^(2) + (13y -2) ^(2) =a( 5x+ 12y -1)^(2) represents an ellipse if

The set of values of a for which (13x-1)^(2)+(13y-2)^(2)=a(5x+12y-1)^(2) represents an ellipse is

The equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents a parabola for k (1^2+m^2)^(-1) a point circle for k=0

The value of a for which (13x-1)^(2)+(13y-2)^(2)=(a^(2)-1)(5x+12y-1)^(2) repesents an ellipse is

If the length of the latus rectum rectum of the parabola 169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2) is L then the value of 13L/4 is _________.

If the length of the latus rectum rectum of the parabola 169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2) is L then the value of 13L/4 is _________.

If the length of the latus rectum rectum of the parabola 169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2) is L then the value of 13L/4 is _________.

If the length of the latus rectum rectum of the parabola 169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2) is L then the value of 13L/4 is _________.

If the length of the latus rectum rectum of the parabola 169{(x-1)^(2)+(y-3)^(2)}=(5x-12y+17)^(2) is L then the value of 13L/4 is _________.