Ordering Tangent Line Slopes on a Circle
The slope of the tangent line to the circle $$x^2+y^2=25$$ is given by $$dy/dx = -x/y$$. Consider the points A(3, 4), B(-4, 3), C(-3, 4), and D(4, 3). Which of the following lists the points in increasing order of the slopes of the tangent lines at those points?
A
A, D, C, B
B
D, C, A, B
C
A, C, D, B
D
D, A, C, B
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