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O-LevelMathematicsCoordinate geometry4024/11 · May/June 2021 · Q254 Marks

The diagram shows a circle centre C (0, 1). P (3, 5) is a point on the circumference of the circle. Find the equation of the tangent at P. [Figure 25]

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Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [4] 4y + 3x = 29 oe final answer
  2. M1 for [grad CP] = (5-1)/(3-0) oe
  3. M1FT for [grad tangent] = -¾ or -1 / their gradient CP
  4. M1 for substitution of (3,5) into y = their mx + c oe

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About this question

Topic
Coordinate geometry, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2021 Paper 1 Variant 1, question 25.

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