The equation `x^2/(10-a)+y^2/(4-a)=1` represents an ellipse then show that `a lt 4`

The equation x^(2)/(r-2)+y^(2)/(5-r)= 1 represents an ellipse if

The equation (x^(2))/(10-k)+(y^(2))/(k-4)=1 represents an ellipse if

If the equation (x^(2))/(9-k)+(y^(2))/(5-k)=1 represents an ellipse then

Show that the equation (x^(2))/(9-c)+(y^(2))/(5-c)=1 represents. An ellipse if 'c' is a real constant less than 5.

The equation x^(2)+y^(2)-2x-4y-5=0 represents a

The equation x^(2)+y^(2)+4x+6y+13= 0 represents

The equations x-y=4 and x^2+4xy+y^2=0 represent the sides of

x^(2) +4y^(2) +2x +16y +k=0 represents an ellipse with ecentricity (sqrt3)/(2) for

If the equation x^(2)+2sqrt(2)xy+2y^(2)+4x+4sqrt(2)y+1=0 represents tangents to same circle then circumference of circle is

Show that the equation x^(2)-y^(2)-x+3y-2=0 represents a pair of perpendicular lines and find their equations.