Practice Equation Of The Normal (2.3) - Tangents and Normals - IB 10 Mathematics – Group 5, Calculus
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Equation of the Normal

Practice - Equation of the Normal

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the definition of a normal line?

💡 Hint: Think about the relationship between tangent and normal.

Question 2 Easy

How do you calculate the slope of the normal given the tangent slope?

💡 Hint: What happens to the tangent's slope?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the slope of the normal line in relation to the tangent?

Equal
Negative reciprocal
Opposite

💡 Hint: Think about how they relate geometrically.

Question 2

The normal to a curve at a point is always perpendicular to the tangent line.

True
False

💡 Hint: What does perpendicular mean?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find the normal line for y = 1/x at x = 1.

💡 Hint: Calculate the derivative and substitute values accordingly.

Challenge 2 Hard

Analyze the function y = sin(x) at x = π/2 and derive the normal line.

💡 Hint: Consider the properties of the sine function and its slopes at key points.

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