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Geometry: Circle and Line Intersections
The circle with centre C( –2, –2) and radius 4
meets the line y = 5 at points
with coordinates ( , ) and ( , )

tickcross


Worked Solution:

The circle with centre C( –2, –2) and radius 4 has equation:
(x + 2)2 + (y + 2)2 = 42
Substitute y = 5 into the circle's equation:(x + 2)2 + (5 + 2)2 = 16
=>x2 + 4 x + 37= 0
Since the discriminant, b2 – 4 ac = –132 is negative then there are 0 points on the line that intersect with the circle.

© MEI Produced by Dr Ron Knott, 1 September 2004, revised 12 May 2008
tom . button [AT] mei . org . uk 		Test reference: SimCircleLine.html?ref=76366