Question

For the pair of linear equations given below, draw graph and then state, whether the lines drawn are,

$y=3x-1$
$\frac{x}{2}+\frac{y}{3}=1$

• A. Perpendicular
• B. Parallel
• C. Intersecting but not at right angles
• D. Options B & C

Answer 1

The correct option is C Intersecting but not at right angles

we have drawn the graph for the lines,

$y=3x-1$ --(i) and $\frac{x}{2}+\frac{y}{3}=1$ --(ii)

Here equation (i) is represented by the red line and equation (ii) is represented by the blue line.

from the graph it can be concluded that the lines intersect each other

but not perpendicular to each other,(i.e. not at right angles).

Option $\text{C}$ is correct