We have, 6x2+xy−12y2−13x+6y+6=0 Here, a=6,h=21,b=−12g=−213f=3,c=6∵a+b=6−12=−6=0∴ A pair of line is not perpendicular and ∵h2=ab∴ Pair of line is not parallel Hence, pair of straight line is not passing through origin, neither parallel nor perpendicular.