If the straight lines `ax+by+c=0, bx+cy=a=0` and `cx=ay+b=0` are concurrent, then prove that `a^(3)+b^(3)+c^(3)=3abc`

If a+b+c=0 , prove that a^3+b^3+c^3=3abc

The straight lines 4ax+3by+c=0 , where a+b+c=0 , are concurrent at the point

If the pair of straight lines xy - x - y + 1 = 0 and the line ax+2y-3 = 0 are concurrent then a=

If the lines 3x+y+2=0, 2x-y+3=0, 2x+ay-6=0 are concurrent then a =

If the lines x+2ay+a=0, x+3by+b=0, x+4cy+c=0 are concurrent, then a,b and c are in

If a,b,c are the sides of Delta ABC and the lines ax+by+c=0, bx+cy+a=0, cx+ay+b=0 are concurrent, then Delta ABC is

If the lines x+2ay+a=0, x+3by+b=0, x+4cy+c=0 are concurrent, then a, b, c are in

If the lines 2x-ay+1=0, 3x-by+1=0, 4x-cy+1=0 are concurrent, then a, b, c are in

Suppose the that quadratic equations ax^(2)+bx+c=0 and bx^(2)+cx+a=0 have a common root. Then show that a^(3)+b^(3)+c^(3)=3abc .