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Find the coordintes of the midpoint of t...

Find the coordintes of the midpoint of the segment joining
P(0,6) and Q (12 ,20).

Text Solution

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`P(0,6)` and `Q(12,20)`
Let `M(x,y)` be the midpoint of seg PQ.
Let `P(x_(1),y_(1))` and `Q(x_(2),y_(2))`
Here `x_(1)=0,y_(1)=6,x_(2)=12,y_(2)=20`
By midpoint formula, ltbr. `x=(x_(1)+x_(2))/2, y=(y_(1)+y_(2))/2`
`:.x=(0+12)/2, :.y=(6+20)/2`
`:.x=12/2, :.y=26/2`
`:.x=6, :.y=13`
The coordinates of the midpoint of line segment PQ are (6,13).
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