13. Show that the following points are collinear:
(i) A(2,-2), B(-3, 8) and C(-1,4)
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Answer:
A=(X1,Y1)=(2,-2)
B=(X2,Y2)=(-3,8)
C=(X3,Y3)=(-1,4)
X1=2. X2=(-3). X3=(-1)
Y1=(-2) Y2=8. Y3=4
area of triangle:
1/2 [ X1 (y2-y3) + X2 (y3-y1) + X3 (y1-y2) ]
1/2 [ 2 (8-4) + (-3) (4-(-2)) + (-1) (-2-8) ]
1/2 [ 2(4) -3(6) -1(-10) ]
1/2 [ 8-18+10]
1/2 [ 18-18 ]
1/2 [0]
0
therefore the given points are collinear as the area is 0
i think this is the answer............I hope this helps u
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