MCQ
Are the points (1, 1), (2, 3) and (8, 11) collinear?
- Acollinear
- BNon collinear
- Ccoplaner
- DNone of above
✓
Answer
- Non collinear
Solution:
Area of triangle formed by these vertices is,
$\triangle=\frac{1}{2}\begin{vmatrix}1&1&1\\2&3&1\\8&11&1\end{vmatrix}$
Applying R2 → R2 − R1, R3 → R3 − R1
$\triangle=\frac{1}{2}\begin{vmatrix}1&1&1\\1&2&0\\7&10&0\end{vmatrix}=\frac{1}{2}(10-14)=2$
Hence points are non collinear
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