Question

The lines joining the pairs of points $(-1,1)\&(-9,6)and(-2,14)\&(6,9)are$

• A. perpendicular to each other
• B. parallel to each other
• C. intersecting but not perpendicular to each other
• D. impossible to plot

Answer 1

The correct option is B parallel to each other

Given pairs of point

$A(-1,1),B(-9,6)$ and $C(-2,14),D(6,9)$

$\Rightarrow m_{AB}=\frac{6-1}{-9+1}=\frac{-5}{8}$

$\Rightarrow m_{CD}=\frac{9-14}{6+2}=\frac{-5}{8}$

Hence $m_{AB}=m_{CD}\Rightarrow$ $AB$ and $CD$ are parallel