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1 markPaper 1 · Multiple choiceCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2009 · Paper 1 · Question Q23

The normal at P(4, 3) to the circle (x - 2)^2 + y^2 = 25 has gradient \frac{3}{4}. The equation of the tangent at P to (x - 2)^2 + y^2 = 25 is

  1. (A)y - 3 = \frac{-4}{3}(x - 4)
  2. (B)y - 3 = \frac{-3}{4}(x - 4)
  3. (C)y - 4 = \frac{3}{4}(x - 3)
  4. (D)y - 4 = \frac{-3}{4}(x - 3)

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