Question

Line joining the points $(3,–4)$ and $(–2,6)$ is perpendicular to the line joining the points $(–3,6)$ and $(9,–18)$. State whether the statement is true or false. Justify.

Answer 1

Slope of line joining the points $(3,–4)$ and $(–2,6)$ is

$m_1=\frac{-4-6}{3+2}=-2$

Slope of line joining the points

$(–3,6)$ and $(9,–18)$ is

$m_1=\frac{6+18}{-3-9}=-2$

Since, $m_1\times m_2=4\ne -1$

Hence, the given lines are not perpendicular.

Hence, the given statement is false.