Question

Prove that (3, 3), (6, 6) and (−2 , −2) are collinear points.​

Answer 1

Answer:

If Δ=0, the points are collinear

Area of triangle=

Δ=1/2|x1(y2-y3)+x2(y3-y1)+x3(y1-y2)|

Δ=1/2|3(6-(-2))+6(-2-3)+(-2)(3-6)|

Δ=1/2|3(8)+6(-5)-2(-3)|

Δ=1/2|24-30+6|

Δ=1/2×0

Δ=0, the points are collinear