The equation `(x-5)^(2)+(x-5)(y-6)-2(y-6)^(2)=0` represents

the equation 3(x+y-5)^(2)+2(x-y+7)^(2)=6 represents an ellipse whose centre is

If the equation a x^(2)+5 x y-6 y^(2)-10 x+11 y+c=0 , represents two perpendicular lines then c=

If the equation lambda x^(2)-5 x y+6 y^(2)+x-3 y=0 represents a pair of lines, then their point of intersection is

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

If the equation lambda x^(2)-5xy+6y^(2)+x-3y=0 represents a pair of straight lines then their point of intersection is

A value of p for which the equation x^(2)+p x y+y^(2)-5 x-7 y+6=0 represents a pair of lines is

The equation x^(2)+kxy+y^(2)-5x-7y+6=0 represents a pair of straight lines, then k is