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Explanation:

The co-ordinates of D are {[(−2 + 0)/2], [(3 − 4)/2]} = (−1, − 0.5) 

Using the two point form, the equation of median AD is: 

(y − 5) / (x − 1) = (−0.5 − 5) / (−1 − 1) 

∴ (y − 5) / (x − 1) = 5.5 / 2 = 11 / 4

∴ 4y − 20 = 11x − 11

∴ 11x − 4y + 9 = 0 

Hence, option (d).

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