Show that the equation:` 3x^2+3y^2+12x+18y-11=0` represents a circle.

Solve the following:prove that the equation 3x^2+3y^2-6x+4y-1=0 represents a circle.Find its centre and radius.

Show that the equations x^2+y^2-6x+4y-36=0 represents a circle,Also find its centre and radius.

Show that the eqaution 16x^2-3y^2-32x+12y-44=0 represents a hyperbola. Find the length of axes and eccentricity.

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

If the equation 3x^(2)-2y^(2)+lamda xy -x+5y-2=0 represents a pair of straight lines then lamda=

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

The circle represented by the equation x ^(2) + y^(2) + 2gx + 2fy + c=0 will be a point circle, if

The equation (x-x_1)(x-x_2)+(y-y_1)(y-y_2=0 Represents a circle whose centre is