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Q)

The points $\bigg(0,\large\frac{8}{3}\bigg),$$(1,3)$ and $(82,30)$ :

$\begin{array}{1 1} \text{from an obtuse angled triangle} \\ \text{from an acute angled triangle} \\\text{from a right triangle} \\ \text{lie on a straight line} \end{array} $

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