Question
Show that the points (1, – 1), (5, 2) and (9, 5) are collinear. [2 MARKS]
Answer: Option A
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Concept : 1 Mark
Application : 1 Mark
A (1 , -1) , B (5 , 2) and C (9 , 5) are the given points. Then, We have
Distance between the points is given by
√(x1−x2)2+(y1−y2)2
AB=√(5−1)2+(2+1)2
So,
AB=√16+9=5
BC=√(5−9)2+(2−5)2
BC=√16+9=5
and , AC=√(1−9)2+(−1−5)2
AC=√64+36=10
Clearly, AC = AB + BC
Hence A, B, C are collinear points
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