Auxiliary equation of `2x^(2)+3xy-9y^(2)=0` is

Solution of the differential equation x^(2)(dy)/(dx)-3xy-2y^(2)=0 is

If m be the number of integral solutions of equation 2x^(2)-3xy9y^(2)-11=0 and n be the roots of x^(3)-[x]-3=0, then m

The nature of straight lines represented by the equation 4x^(2)+12xy+9y^(2)=0 is

Solution of the differential equation (x^(2)+3xy+y^(2))dx-x^(2)dy=0 is

The equation of the lines through the origin and which are perpendicular to the pair of x^(2)-3xy+2y^(2)=0 is

Joint equation of two lines through (2,-1) parallel to two lines 2x^(2)-3xy-9y^(2)=0 is

The angle between the lines represented by the equation 2x^2+3xy-5y^2=0 , is

Distance between the pair of lines represented by the equation x^(2)-6xy+9y^(2)+3x-9y-4=0 , is