Ordering Tangent Line Slopes on a Circle
For the circle $$x^2+y^2=25$$, the slope of the tangent line is given by $$dy/dx=-x/y$$. Rank the points in the table in increasing order of the slopes of the tangent lines at those points.
| Label | Point |
|---|---|
| A | (3, 4) |
| B | (-4, 3) |
| C | (-3, 4) |
| D | (4, 3) |
A
D, A, C, B
B
A, D, C, B
C
D, C, A, B
D
A, C, D, B
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