Q4 of 112 Page 150

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

(k, –1), (2, 1) and (4, 5)

(k, –1), (2, 1) and (4, 5)


Area of triangle =


x1 = k, x2 = 2 and x3 = 4


y1 = –1, y2 = 1 and y3 = 5


if points are collinear then, area of triangles are collinear.


⇒


⇒


⇒


⇒ k + 6 – 2 – 5k = 0


⇒4 – 4 k = 0


⇒ 4 = 4k


⇒


⇒ k = 1


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