Q3 of 112 Page 150

Determine if the following set of points are collinear or not.

(–2, –2), (–6, –2) and (–2, 2)

(–2, –2), (–6, –2) and (–2, 2)


Let A (–2, –2) B (–6, –2) and C (–2, 2) be the vertices of triangle.


Area of triangle =


x1 = –2, x2 = –6 and x3 = –2


y1 = –2, y2 = –2 and y3 = 2


⇒


⇒


⇒


⇒


Therefore, the given points are non – collinear.


More from this chapter

All 112 →
2

Vertices of the triangles taken in order and their areas are given below. In each of the following find the value of a.

Vertices: (a, –3), (3, a), (–1,5)


Area (in sq. units): 12

 3

Determine if the following set of points are collinear or not.

(4, 3), (1, 2) and (–2, 1)

 3

Determine if the following set of points are collinear or not.

, (6, –2) and (–3, 4)

 4

In each of the following, find the value of k for which the given points are collinear.

(k, –1), (2, 1) and (4, 5)