Find th co-ordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).

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#### Solution

P(0, 6) Q(12, 20)

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(x_{1}, y_{1}) (x_{2}, y_{2})

Let co-ordinates of midpoint be (x, y)

By formula for midpoint.,

`x =( x_1+ x_2)/2`

= `(0+12)/2`

= `12/2 = 6`

y = `(y_1+y_2)/2`

y = `(6+20)/2`

= `26/2`

= 13

∴ PQ co-ordinates of midpoint of segment PQ are(6, 13)

Concept: The Mid-point of a Line Segment (Mid-point Formula)

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