Using determinants prove the following points are collinear..
- (11,7),(5,5),(-1,3)
- (0,3),(4,6),(-8,-3)
- (-2,5),(-6,-7),(-5,-4)
Let A(x1, y1), B(x2, y2) and C(x3, y3) be three point. Then, A, B, C are collinear, if
1.
Let the given point be A(11, 7), B(5, 5) and C(– 1, 3).
Expanding along C3, we have
Δ = 0 – 0 + 1 × (12 × 2 – 6 × 4) = 0 – 0 + (24 – 24) = 0 – 0 + 0 = 0
Hence, the point A(11, 7), B(5, 5) and C(– 1, 3) are collinear.
Similarly, you can solve the remaining two parts of the question.