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Find the coordinates of the points which divide the line segment joining $A(-2, 2)$ and $B(2, 8)$ into four equal parts.
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Sol. $A(-2, 2) \quad P \quad Q \quad R \quad B(2, 8)$
Coordinates of mid – point Q of AB $= (0,5)$
Coordinates of mid – point P of AQ $= (-1, \frac{7}{2})$
Coordinates of mid – point R of BQ $= (1, \frac{13}{2})$
Coordinates of mid – point Q of AB $= (0,5)$
Coordinates of mid – point P of AQ $= (-1, \frac{7}{2})$
Coordinates of mid – point R of BQ $= (1, \frac{13}{2})$