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Question

The points (0,5),(0,-9) and (3,6) are collinear. State whether the following statement is true or false. Justify your answer.


A
True
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B
False
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Solution

The correct option is B False

Explanation.

The points are collinear if area of a triangle formed by its points is equals to the zero.

x1=0,x2=0,x3=3y1=5,y2=9,y3=6

The area of triangle is given by

A=12x1y2-y3+x2y3-y1+x3y1-y2=120-9-6+06-5+35+9=1242=210

Hence, the given statement is False.


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