8.)(i) Show that the points (5, -3), (9, 5) and (11, 9) are collinear.
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Answer:
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Step-by-step explanation:
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Solution:
Let the three collinear points be (x1,y1), (x2,y2) and (x3,y3)
The condition of collinearity is
x1(y2−y3)+x2(y3−y1)+x3(y1−y2)=0
Here, the given points are (5,-3), (9,5) and (11,9)
=5(5−9)+9(9−(-3))+11(-3−5)
=5(−4)+9(12)+11(−8)
= -20+108−88
=0
Hence, points (5,-3), (9,5) and (11,9) are collinear.
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