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Q.
The line joining $A (2, -7)$ and $B(6, 5)$ is divided into $4$ equal parts by the points $ P,Q$ and $R$ such that $AQ = RP = QB$. The midpoint of $ PR$ is _______
Given that,
$A P=P Q=Q R=R B$
and $A Q=R P=Q B$
Since, $A Q=Q B$, that means $Q$ is the mid point of
$A B=\left[\frac{2+6}{2}, \frac{-7+5}{2}\right]=(4,-1)$
Mid point of $P R=(4,-1)$
$[\because P Q=Q R]$
