check whether the points (4, 5), (7, 6) and (6, 3) are collinear
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Answer:
Step-by-step explanation:
Thanks buddy for letting me help.
Firstly you should note that three points A, B, & C will be collinear only when,
AB = AC + BC or, AC = AB + BC
or BC = AB + AC
Let the given points be A(4,5) , B(7,6) & C(6,3)
Now, from distance formula
AB = √(9 + 1) = √10
BC = √(1 + 9) = √10
AC = √(4 + 4) = 2√2
So, it doesn't follow the condition of collinearity hence given points are not collinear.
Good LucK!
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