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Maharashtra State BoardSSC (English Medium) 10th Standard

Find the Coordinates of Midpoint of the Segment Joining the Points (22, 20) and (0, 16). - Geometry Mathematics 2

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Question

Find the coordinates of midpoint of the segment joining the points (22, 20) and (0, 16).

Sum
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Solution

Let the given points be A(22, 20) and B(0, 16).

Let the coordinate of the midpoint be (x, y). 

Using the midpoint formula

\[x = \frac{22 + 0}{2}\]

\[\Rightarrow 2x = 22\]

\[\Rightarrow x = 11\] 

\[y = \frac{20 + 16}{2}\]

\[\Rightarrow 2y = 36\]

\[\Rightarrow y = 18\]

(x, y) = (11, 18)

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Chapter 5: Co-ordinate Geometry - Practice Set 5.2 [Page 115]
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