Question

12. The points with coordinate (5,3), (5,6) and
(5,-4) lie on a line is​

Answer 1

Answer:

For the points to be collinear, i.e.,to lie in a line, area of triangle should be 0.

$\frac{1}{2} (5(6 + 4) + 5( - 4 - 3) + 5(3 - 6)) = 0 \\ \frac{1}{2} (5(10) + 5( - 7) + 5( - 3) )= 0 \\ \frac{1}{2} (50 - 35 - 15) = 0 \\ \frac{1}{2} (0) = 0 \\ 0 = 0$

Hence these coordinates are collinear...

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