Question

The points $(0,\frac{8}{3})$, $(1,3)$ and $(82,30)$ are vertices of

• A. an obtuse angled triangle
• B. an acute angled triangle
• C. a right angled triangle
• D. none of these

Answer 1

Answer: (D)

none of these

We know that the area of the triangle whose vertices are $(x_1,y_1),(x_2,y_2),$ and $(x_3,y_3)$ is $\frac{1}{2}\left|x_1\right(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2\left)\right|$

Area of triangle formed by these vertices is 0
Hence, these vertices does not form triangle.