If the points (x1y1), (x2, y2) and (x3, y3) be collinear, show that

Q12 of 184 Page 10

If the points (x₁y₁), (x₂, y₂) and (x₃, y₃) be collinear, show that

Given : A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃)

We know the points are collinear if area(∆ABC)=0

Area of triangle

Then, Area

Now, Divide by

Taking common

Hence, Proved.

If A(x, y), B(1, 2) and C(2, 1) are the vertices of a triangle of area 6 square unit, show that x+y=15 or-9

Prove that the points (a, b+c), (b, c+a) and (c, a+b) are collinear.

If the points (a, b), (a₁, b₁) and (a-a₁, b-b₁) are collinear, show that

Show that the point (a, 0), (0, b) and (1, 1) are collinear if