Line and circle intersections

Line and circle intersections

7 marks
TGM Original
The circle is (x-1)2+(y+2)2=25. Find its intersections with y=1, and the tangent at the intersection with positive x. Determine whether y=3 and y=4 cut, touch or miss the circle.

Solution:

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Answer:\((-3,1),(5,1)\); tangent \(4x+3y=23\); \(y=3\) touches, \(y=4\) misses.

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