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4 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2018 · Paper 2 · Question 4(a)(iii)

The equations of the circle, C, and a straight line, L, are given by x² + y² - 2x + 2y + 1 = 0 and y = x - 3, respectively.

Determine the equation of the tangent to the circle, C, at the point (1, -2).

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Other parts of this question

  1. 4(a)(i)Determine the centre and radius of the circle, C.[3 marks]
  2. 4(a)(ii)Show that (1, -2) is one of the points of intersection of the circle, C, and the straight line, L.[6 marks]
  3. 4(b)Show that u and v are NOT parallel.[9 marks]
  4. 4(c)Determine the vector equation of a plane which passes through the point (1, 3, 0) and which is perpendicular to the vector 2i + 4j + 5k.[3 marks]

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