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

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

Which of the following is/are true? There are infinite positive integral values of a for which (13 x-1)^2+(13 y-2)^2=((5x+12 y-1)^2)/a represents an ellipse. The minimum distance of a point (1, 2) from the ellipse 4x^2+9y^2+8x-36 y+4=0 is 1 If from a point P(0,alpha) two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 then |alpha|<9/4dot If the length of the latus rectum of an ellipse is one-third of its major axis, then its eccentricity is equal to 1sqrt(3)

Which of the following is/are true? There are infinite positive integral values of a for which (13 x-1)^2+(13 y-2)^2=((5x+12 y-1)^2)/a represents an ellipse. The minimum distance of a point (1, 2) from the ellipse 4x^2+9y^2+8x-36 y+4=0 is 1 If from a point P(0,alpha) two normals other than the axes are drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 then |alpha|<9/4dot If the length of the latus rectum of an ellipse is one-third of its major axis, then its eccentricity is equal to 1sqrt(3)

The set of real values of k for which the equation (k+1)x^(2)+2(k-1)xy+y^(2)-2x+2y+3=0 represents an ellipse is

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

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

The equation x^2/(12-a)+y^2/(4-a)=1 represents an ellipse, if :

If the equation (5x-1)^(2)+(5y-2)^(2)=(lambda^(2)-2 lambda+1)(3x+4y-1)^(2) represents an ellipse,then find values of lambda

If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 represents an ellipse, then find values of lambdadot