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H2 Math Summary Notes
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Pure Mathematics
Unit 1 Inequalities1 Question -
Unit 2 Graphing Techniques7 Questions
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Unit 3 Transformation of Graphs2 Questions
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Unit 4 Functions6 Questions
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Unit 5 APGP & Recurrence Relations6 Questions
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Unit 6 Sigma Notation6 Questions
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Unit 7 Techniques of Differentiation2 Questions
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Unit 8 Applications of Differentiation9 Questions
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Unit 9 Maclaurin Series2 Questions
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Unit 10 Techniques of Integration6 Questions
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Unit 11 Applications of Integration4 Questions
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Unit 12 Differential Equations2 Questions
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Unit 13 Vectors11 Questions
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Unit 14 Complex Numbers6 Questions
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StatisticsUnit 15 Permutation and Combinations7 Questions
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Unit 16 Probability5 Questions
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Unit 17 Discrete Random Variable4 Questions
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Unit 18 Binomial Distribution5 Questions
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Unit 19 Normal Distribution7 Questions
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Unit 20 Sampling and Estimation8 Questions
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Unit 21 Hypothesis Testing6 Questions
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Unit 22 Correlation and Linear Regression5 Questions
Lesson 13,
Question 10
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Unit 13.2 Worked Example 4
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The line \({{l}_{3}}\) which passes through \(B\left( 7,4,-5 \right)\) and is parallel to the direction vector \(\left( \begin{matrix}4 \\4 \\-7 \\\end{matrix} \right)\). The plane \({{p}_{1}}\) has the equation \(x-3y+2z=-5\). Find
(i)
the coordinates of point of intersection between the line \({{l}_{3}}\) and plane \({{p}_{1}}\),
(ii)
the acute angle between the line \({{l}_{3}}\) and plane \({{p}_{1}}\),
(iii)
the equation of line of the image of line \({{l}_{3}}\) in plane \({{p}_{1}}\).
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