Question

Find graphically, the vertices of the triangle whose sides have the equations $2y-x=8,5y-x=14$ and $y-2x=1$. Take $1cm=1$unit on both the axes.

• A. $(-4,0),(1,3)$ and $\left(2.5\right)$
• B. $(-4,2),(1,3)$ and $\left(2.5\right)$
• C. $(-4,6),(1,3)$ and $\left(2.5\right)$
• D. $(-4,8),(1,3)$ and $\left(2.5\right)$

Answer 1

The correct option is B $(-4,2),(1,3)$ and $\left(2.5\right)$

Plotting $2y-x=8$ and $5y-x+14$ and $y-2x=1$ in the graph,
the vertices of the triangle formed by the line and x axis are $(-4,2),(2,5)and(1,3)$