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An oblique common chord

An oblique common chord

8 marks
TGM Original
The circles x2+y2=25 and (x-4)2+(y-2)2=5 meet at P and Q. Find the common chord equation, midpoint and length. Show that it is perpendicular to the line of centres.

Solution:

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Answer:\(2x+y=10,\ M=(4,2),\ PQ=2\sqrt5\); perpendicular to line of centres.

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