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Emptypockets451
22.10.2021 •
Mathematics
The ordinate of a point is twice its abscissa . If its distance from the point (4,3) is √10 units ,then the coordinates of the point are ?
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Ответ:
(1 , 2) and (3 , 6)
Step-by-step explanation:
the point P : (x , y) -> (x , 2x) ... ordinate of P point is twice its abscissa, y = 2x
√10 = √(x-4)² + (2x-3)²
5x² - 20x + 25 = 10
x² - 4x + 3 = 0
(x-1)(x-3) = 0
x = 1 or x = 3
y = 2 or y = 6
Ответ: