`ax+bx+by+cy+cx+ay`

Factorise : ax + bx – ay – by

Factorise ax + bx - ay - by

The three straight lines ax+by=c, bx+cy=a and cx +ay =b are collinear, if

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

If the system of linear equations ax +by+ cz =0 cx + ay + bz =0 bx + cy +az =0 where a,b,c, in R are non-zero and distinct, has a non-zero solution, then:

[[a, b, ax + byb, c, bx + cyax + by, bx + cy, 0]] = (b ^ (2) -ac) (ax ^ (2) + 2bxy + cy ^ (2))

The three striaght lines ax+by=c, bx+cy=a and cx+ay=b are collinear if: