show that the points (5,1),(1,-1),(11,4) lie on a straight line
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Step-by-step explanation:
area of triangle with three given coordinates is given by
A= 1/2 | 1 5 1 |
| 1 1. -1 |
|. 1. 11. 4 |
R2= R2-R1, R3 = R3-R1
A = 1/2 | 1. 5. 1 |
| 0.-4 -2 |
| 0 6 3 |
= 1/2*{1*(-4*3 - (-2)*6)}
= 1/2*(-12+12)
= 1/2*0
= 0
since area is zero, it proves that the points are on same line.
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