If the point $P(k, 0)$ divides the line segment joining the points $A(2,-2)$ and $B(-7,4)$ in the ra

Question

If the point $P(k, 0)$ divides the line segment joining the points $A(2,-2)$ and $B(-7,4)$ in the ratio $1: 2$, then the value of $k$ is\

Professor PC Thomas Classes · Answer

(d) : Since, the point $P(k, 0)$ divides the line segment joining $A(2,-2)$ and $B(-7,4)$ in the ratio $1: 2$. $$ \begin{gathered}   	herefore \quad k=\frac{1(-7)+2(2)}{1+2}=\frac{-7+4}{3}=\frac{-3}{3}=-1 \end{gathered} $$