SOLUTION: Find the x and y coordinates of the points on x^2 + y^2=16 at which the tangent line(s) are: a) horizontal b) have a slope of 1

SOLUTION: Find the x and y coordinates of the points on x^2 + y^2=16 at which the tangent line(s) are: a) horizontal b) have a slope of 1

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Question 389908: Find the x and y coordinates of the points on x^2 + y^2=16 at which the tangent line(s) are:
a) horizontal b) have a slope of 1
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a) The tangent lines are horizontal at the points (0,4) and (0,-4).
b) The tangent lines have slope 1 at the intersection points of the circle with the line y = -x. Solving:
==> , or
, .
Then the points are (,) and (,).
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