Question: A circle with centre C has equation x + y + 6x + 2y = 8 = 0. For the line x + y =

A circle with centre C has equation x² + y² + 6x + 2y = 8 = 0. For the line x + y = k, determine the values of k for which the line and the circle

a) Meet at two distinct points

b) Meet at a single point (the line is a tangent to the circle)

c) Do not meet.

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To solve this problem we need to find the intersection points between the circle and the line We can do this by substituting y k x into the equation o... View full answer

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