Question

If the points A, B, C collinear then a) |AB ACI= BC c) slope of BC = slope of CA b) ar( AABC ) = 0 d) slope of AB = slope of BC -​

Answer 1

Step-by-step explanation:

i) Slope of AB=5−412−8=14=4

Slope of BC=9−528−12=416=4

Hence AB∣∣BC, but B is a point of intersect.

Hence A, B, C are collinear.

(ii) Slope of AB=3−16−6+18=−1312=−1312

Slope of BC=−10−36+6=−1312=−1312

Slope of AB= slope of BC

Hence A, B, C are collinear.

Answer 2

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Step-by-step explanation:

(i) Slope of AB=

5−4

12−8

=

1

4

=4

Slope of BC=

9−5

28−12

=

4

16

=4

Hence AB∣∣BC, but B is a point of intersect.

Hence A, B, C are collinear.

(ii) Slope of AB=

3−16

−6+18

=

−13

12

=−

13

12

Slope of BC=

−10−3

6+6

=

−13

12

=−

13

12

Slope of AB= slope of BC

Hence A, B, C are collinear