Question

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

• A. $(-3,2)$, $(2,5)$ and $(1,3)$
• B. $(-2,2)$, $(2,5)$ and $(1,3)$
• C. $(-1,2)$, $(2,5)$ and $(1,3)$
• D. $(-4,2)$, $(2,5)$ and $(1,3)$

Answer 1

The correct option is D $(-4,2)$, $(2,5)$ and $(1,3)$

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