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  1. For what value of x the points (x, – 1), (2, 1) and (4, 5) are collinear ?
    1. x = 2
    2. x = – 1
    3. x = 4
    4. x = 1
Correct Option: D

When three points are collinear then area of triangle is zero.

⇒ ar∆ = x- 11
1
211
2451

= 1/2 [x (1 – 5) + 1(2 – 4) + 1(10 – 4)]
⇒ – 4x – 2 + 6 = 0
⇒ – 4x + 4 = 0
⇒ x = 1


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