An oblique chord that is not a diameter

An oblique chord that is not a diameter

Secondary 3
7 marks
TGM Original Questions

The line \(y=x+1\) cuts the circle \((x+2)^2+(y-1)^2=20\) at \(P\) and \(Q\).

  1. Find \(P\), \(Q\) and the exact length of \(PQ\).[4]
  2. Find the perpendicular bisector of \(PQ\). Explain why \(PQ\) is not a diameter.[3]

Solution:

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Answer:(a) \((-4,-3)\), \((2,3)\); \(6\sqrt2\). (b) \(y=-x-1\); midpoint differs from centre.

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