Parallel lines meeting a circle

Parallel lines meeting a circle

6 marks
TGM Original
The line y=x+k meets x2+y2=16. Find the values of k for which it cuts a chord, is tangent, or does not intersect.

Solution:

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Answer:\(|k|<4\sqrt2\) chord; \(|k|=4\sqrt2\) tangent; \(|k|>4\sqrt2\) misses.

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