Tangent through a point on a shifted circle

Tangent through a point on a shifted circle

Secondary 3
6 marks
TGM Original Questions

The point \(P(4,2)\) lies on the circle \(x^2+y^2-2x+4y-20=0\).

  1. Find the equation of the tangent at \(P\).[4]
  2. Find the coordinates where this tangent meets the two coordinate axes.[2]

Solution:

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Answer:(a) \(3x+4y=20\). (b) \((20/3,0)\), \((0,5)\).

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