coordinate geometry f.3

2013-08-20 4:27 am
coordinate geometry of straight lines


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回答 (1)

2013-08-20 4:48 am
✔ 最佳答案
23.
Equation of the st. line :
(y + 1)/(x - 3) = (5 + 1)/(-4 + 3)
(y + 1)/(x - 3) = -6/7
6(x - 3) = -7(y + 1)
6x - 18 = -7y - 7
6x + 7y = 11 ...... [1]

Put y = 0 (x-axis) into [1] :
6x = 11
x = 11/6
Hence, the coordinates of R = (11/6, 0)

Put x = 0 (y-axis) into [1] :
7y = 11
y = 11/7
Hence, the coordinates of S = (0, 11/7)


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24.
Consider the x-coordinates.
PR : RQ = 2 : a
(3 - 1) : (6 - 3) = 2 : a
2 : 3 = 2 : a
a = 3
參考: Adam


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