Q. 85.0( 4 Votes )

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Find the value of x for which the points(x, -1), (2, 1) and (4, 5) are collinear.

Answer :

Let the points be A(x, -1), B(2, 1) and C(4, 5)

Now as the points are collinear, therefore

m_{AB} = M_{BC }

Now m_{AB} = =

and m_{BC} = = = 2

As m_{AB} = m_{BC }

We have = 2

2 = 2(2 – x) = 4 – 2x

or 2x = 4 – 2

⇒ 2x = 2 ⇒ x = 1

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