Q4 of 112 Page 150

In each of the following, find the value of k for which the given points are collinear.
(k, k), (2, 3) and (4, – 1)

(k, k) (2, 3) and (4, –1)

Area of triangle =

x₁ = k, x₂ = 2 and x₃ = 4

y₁ = k, y₂ = 3 and y₃ = –1

⇒

⇒ 7k – 2 – k – 12 = 0

⇒ 6k – 14 = 0

⇒ 6k = 14

⇒

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

(k, –1), (2, 1) and (4, 5)

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

(2, – 5), (3, – 4) and (9, k)

Find the area of the quadrilateral whose vertices are

(6, 9), (7, 4), (4,2) and (3,7)

Find the area of the quadrilateral whose vertices are

(–3, 4), (–5, – 6), (4, – 1) and (1, 2)

In each of the following, find the value of k for which the given points are collinear.(k, k), (2, 3) and (4, – 1)