If `(x^(2))/((a-1)(a-2))+(y^(2))/(a(a-3))=1` represents an ellipse then the value of 'a' belongs to
`(1) (1,2)`
(2) `(0,1 )`
(3) `(2,3)`
(4) `(- oo,0)`

(x-(1)/(2))^(2)+(y+(1)/(2))^(2)=(k^(2)(x+y+1)^(2))/(8) represents an ellipse then k takes value

3x^2+4y^2-6x+8y+k=0 represents an ellipse with eccentricity 1/2,

If a(x^(2)+y^(2)+2y+1)=(x-2y+3)^(2) is an ellipse and a in (b, oo) , then the value of b is ___________

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 5[(x-2)^(2)+(y-3)^(2)]=(lambda^(2)-2 lambda+1)(2x+y-1)^(2) represents an ellipse then

If [x+[x]]<=8 where [.] denotes the greatest integer function then x belongs to 1)(-oo,1) 2) (-oo,4) 3) (-oo,5) 4) (0,2)

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)