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Show that the straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form an isosceles triangle.
Show that the line x^2+2xy-35y^2-4x+44y-12=0" and "5x+2y-8=0 are concurrent.
Show that the pair of lines 3x^(2)-5xy+2y^(3)=0 9x^(2)-25xy+4y^(2)=0 are equally inclined to each other.
If two pairs of straight lines with combined equations xy + 4x - 3y - 12 = 0 and xy - 3x + 4y - 12 = 0 form a square. Then, the combined equation of its diagonals is