The equation of Locus (difficult)?

2016-03-12 3:51 pm
A point moves in such a way that it maintain an equal distance fro bothe the straight lines x = 5 and y = -3. Which of the following is a possible locus of the moving point?
A. y= -x+8
B. y= x-8
C. y= x-2
D. y= -x -2

回答 (1)

2016-03-12 4:19 pm
✔ 最佳答案
The intersection of x = 5 and y = -3 is (5,-3)

∴ (5,-3) should be on the locus

For A, -3 ≠ -5 + 8
For B, -3 = 5 - 8
For C, -3 ≠ 5 - 2
For D, -3 ≠ -5 - 2

∴ B. y= x - 8


http://s15.postimg.org/m4essq1e1/image.png


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