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H2 Math Summary Notes

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  1. Pure Mathematics

    Unit 1 Inequalities
    1 Question
  2. Unit 2 Graphing Techniques
    7 Questions
  3. Unit 3 Transformation of Graphs
    2 Questions
  4. Unit 4 Functions
    6 Questions
  5. Unit 5 APGP & Recurrence Relations
    6 Questions
  6. Unit 6 Sigma Notation
    6 Questions
  7. Unit 7 Techniques of Differentiation
    2 Questions
  8. Unit 8 Applications of Differentiation
    9 Questions
  9. Unit 9 Maclaurin Series
    2 Questions
  10. Unit 10 Techniques of Integration
    6 Questions
  11. Unit 11 Applications of Integration
    4 Questions
  12. Unit 12 Differential Equations
    2 Questions
  13. Unit 13 Vectors
    11 Questions
  14. Unit 14 Complex Numbers
    6 Questions
  15. Statistics
    Unit 15 Permutation and Combinations
    7 Questions
  16. Unit 16 Probability
    5 Questions
  17. Unit 17 Discrete Random Variable
    4 Questions
  18. Unit 18 Binomial Distribution
    5 Questions
  19. Unit 19 Normal Distribution
    7 Questions
  20. Unit 20 Sampling and Estimation
    8 Questions
  21. Unit 21 Hypothesis Testing
    6 Questions
  22. Unit 22 Correlation and Linear Regression
    5 Questions
Lesson 2, Question 2
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Worked Example 2

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The curve \(C\) has equation \(\frac{{{\left( x-2 \right)}^{2}}}{2}+{{\left( y-3 \right)}^{2}}=1\) .

(i)

Sketch \(C\),

[3]

(i)

Hence state the range of positive values of \(k\) such that \({{\left( x-2 \right)}^{2}}+{{\left( y+3 \right)}^{2}}={{k}^{2}}\) intersects \(C\) at twice.

[2]

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