19 Find the coordinates of the points which divide the line segment joining the prin
(1, 2) and (5, 10) into four equal parts.
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Let
P,Q,R be the points that divide the line segment joining A(−2,2) and B(2,8) into four equal parts.
Since, Q is the mid-point of AB.
∴ Coordinates of Q are (2−2+2,22+8)
I.e., (0,5)
Now, P divides AQ into two equal parts i.e., P is the mid-point of AQ
∴ Coordinates of P are (2−2+0,22+5)
I.e., (−1,27)
Again, R is the mid-point of QB.
∴ Coordinates of R are (20+2,25+8)
İe., (1,213)
Hence, the coordinates of P,Q and R are (0,5),(−1,27) and (1,213).
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here's your answer dude...
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