Find the equations of the straight lines joining the origin to the points of intersection of `x^2+y^2-4x-2y=4` and `x^2+y^2-2x-4y=4` .

The equation of the line joining the origin to the point of intersection of the lines 2x^2+xy-y^2+5x-y+2=0 is

The lines joining the origin to the points of intersection of 2x^2 + 3xy -4x +1 = 0 and 3x + y=.1 given by

The lines joining the origin to the points of intersection of the line 3x-2y -1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are

Find the equation of the circle passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y - 4 = 0 and x^2 + y^2 - 10x - 12y +40 = 0 and whose radius is 4.

Find the equation of the straight line passing through the point (2,3) and through the point of intersection of the lines 2x-3y+7=0 and 7x+4y+2=0

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

Find the angle of intersection of the curves: y^2=4x and x^2=4y

Find the equation of a straight line passing through the point of intersection of the lines : 3x +y-9 =0 and 4x + 3y-7=0 and perpendicular to the line 5x -4y + 1 =0.

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.

Find the equation of the circle passing throught (1,1) and the points of intersection of the circles x^(2)+y^(2)+13x-3y=0 and 2x^(2)+2y^(2)+4x-7y-25=0