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

Given f is increasing, the equation x^(2)/(f(2a))+y^(2)/(f(a^(2)-3))=1 represents an ellipse with X-axis as major axis if

The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

The equation (x^2)/(1-r)-(y^2)/(1+r)=1,r >1, represents (a)an ellipse (b) a hyperbola (c)a circle (d) none of these

Show that the equation (10x-5)^(2)+(10y-5)^(2)=(3x+4y-1)^(2) represents an ellipse, find the eccentricity of the ellipse.

Show that the equation 3x^(2)+4y^(2)-12x-8y+4=0 represents an ellipse. Find the focus also

The equation x^(2) + y^(2) - 2xy -1 =0 represents :

If x^(2)/(f(4a))+y^(2)/(f(a^(2)-5)) =1 represents an ellipse with major axis as Y-axis and f is a decreasing function,then

Statement-1: The equation x^(2)-y^(2)-4x-4y=0 represents a circle with centre (2, 2) passing through the origin. Statement-2: The equation x^(2)+y^(2)+4x+6y+13=0 represents a point.

The equation x^(2)+4xy+4y^(2)-3x-6y-4=0 represents a

The equation x^(2) + 4xy + 4y ^(2) - 3x - 6 = 0 represents