The separate equation of pair of straight lines of 12x2−20xy+7y2=0 are (6x−7y)=0 and (2x−y)=0 These the equation of sides are 6x−7y=0 . . . (i) 2x−y=0 . . . (ii) and 2x−3y+4=0 . . . (iii) On solving these equations, taking two at a time we get the vertices of a triangle which are A(0,0);B(1,2) and (7,6). ∴ Centroid of a triangle is (