Quiz

Quiz: Worked Example - Normal Equation

AQA Level 2 Certificate in Further Mathematics (8365)

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Steps in this lesson (9)

1
Text

Building on what you've learned about tangents and normals, let's test your knowledge of normal equations!

2
Multiple ChoiceInteractive

What is the definition of the normal to a curve?

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3
Multi-SelectInteractive

Which of the following are true about the normal equation? (Select all that apply)

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4
Fill in the BlankInteractive

The gradient of the normal is the {{blank0}} reciprocal of the gradient of the {{blank1}}.

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
typedAnswer

Match the items on the left with their correct pairs on the right

7
Multiple ChoiceInteractive

The equation of a curve is y = x^2. What is the gradient of the tangent at x = 3?

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8
Fill in the BlankInteractive

To find the equation of the normal, we substitute the {{blank0}} and the {{blank1}} into the equation y - y_1 = m(x - x_1).

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9
Multiple ChoiceInteractive

The gradient of the tangent is 5. What is the gradient of the normal?

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