Show that straight lines `(A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0` form with the line `A x+B y+C=0` an equilateral triangle of area `(C^2)/(sqrt(3(A^2+B^2)))` .

Show that straight lines (A^(2)-3B^(2))x^(2)+8ABxy+(B^(2)-3A^(2))y^(2)=0 form with the line Ax+By+C=0 an equilateral triangle of area (C^(2))/(sqrt(3(A^(2)+B^(2))))

Show that the straight lines represented by 3x^(2)+48xy+23y^(2)=0 and 3x-2y+13=0 form an equilateral triangle of area (13)/(sqrt(3)) sq.units.

Show that the straight lines x^2+4xy+y^2=0 and the line x-y=4 form an equilateral triangle .

If a+b=2h, then the area of the triangle formed by the lines ax^(2)+2hxy+by^(2)=0 and the line x-y+2=0, in sq.units is

Area of triangle formed by straight lines x +y = 4, 2x - y =2 and x -2 = 0 is

If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(2)=0 and the line 2x+3y=a is 7 then a=

Area of the triangle formed by the lines 2x-y=6 and 3x^(2)-4xy+y^(2)=0 is