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प्रश्न
Find coordinates of midpoint of the segment joining points (0, 2) and (12, 14)
उत्तर
Let A(x1, y1) = A(0, 2), B (x2, y2) = B(12, 14)
Let the co-ordinates of the midpoint be P(x, y).
∴ By midpoint formula,
x = `(x_1 + x_2)/2 = (0 + 12)/2` = 6
y = `(y_1 + y_2)/2 = (2 + 14)/2 = 16/2` = 8
∴ The co-ordinates of the midpoint of the segment joining (0, 2) and (12, 14) are (6, 8).
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Solution :
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∴ According to the midpoint theorem,
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∴ Co-ordinates of midpoint P are `square`.
