`xy^2-x^2y-5=0`

Find the angle between the lines joining the origin to the points of intersection of the curve x^2+2xy+y^2+2x+2y-5=0 and the line 3x-y+1=0.

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

The orthocentre of the triangle formed by the lines 2x^(2)+3xy-2y^(2)-9x+7y-5=0 with 4x+5y-3=0 is

Show that the two straight lines joining the origin to the points of intersection of the straight line x+y=1 and the curve 2x^(2)+4xy.y^(2)+4x+2y-5=0 make equal angles with the x-axis.

The axis of the parabola x^(2)+2xy+y^(2)-5x+5y-5=0 is

The axis of the parabola x^(2)+2xy+y^(2)-5x+5y-5=0 is

The figure formed by the pair of lines 2x^2+3xy-2y^2=0 and 2x^2+3xy-2y^2-5x+15y-25=0 is