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Question

The points A(7,8),B(−5,2) and C(3,6)

A
are not collinear
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B
cannot be plotted
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C
are not defined
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D
are collinear
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Solution

The correct option is C are collinear
The given points are A(x1,y1)=(7,8),B(x2,y2)=(5,2) and C(x3,y3)=(3,6).
Now if 3 points A(x1,y1),B(x2,y2) and C(x3,y3) are collinear, then slope mAB=slopemBC= slope mAC
Slope mAB=y2y1x2x1=2857=12
Slope mBC=y3y2x3x2=623+5=12 and slope mAC=y3y1x3x1=6837=12
Therefore, slope mAB= slope mBC = slope mAC
Therefore, the points A,B and C are collinear.

179548_181072_ans.png

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