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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · May/June 2010 · Q55 Marks

The diagram shows part of the curve y = 6 - 3/x which passes through the point A where x = 3. The normal to the curve at the point A meets the x-axis at the point B. Find the coordinates of the point B. [Figure 5]

  1. (a)The diagram shows part of the curve y = 6 - 3/x which passes through the point A where x = 3. The normal to the curve at the point A meets the x-axis at the point B. Find the coordinates of the point B.[5]

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Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. M1 for attempt to differentiate
  2. DM1 for use of perp grads
  3. B1 coords of A (3, 5)
  4. DM1 for attempt at normal
  5. A1

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 1 Variant 2, question 5.

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