Practice Finding Tangents and Normals to Curves - 3 | 4. Tangents and Normals | IB Class 10 Mathematics – Group 5, Calculus
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of a tangent?

💡 Hint: Think about how a line interacts with a curve.

Question 2

Easy

How do you find the slope of a tangent line?

💡 Hint: Remember, the derivative gives the rate of change.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is a tangent line?

  • A line that crosses the curve
  • A line that touches the curve at one point
  • A curve itself

💡 Hint: Think about how it interacts with the curve.

Question 2

The slope of the normal is the ___.

💡 Hint: What happens to the slope when lines are perpendicular?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Find the tangent and normal for y=sin(x) at x=pi/3.

💡 Hint: Check the sine function and its properties.

Question 2

At what points do vertical tangents occur for y=ln(x)? Derive the equation and find normals at those points.

💡 Hint: Consider the domain of natural logs.

Challenge and get performance evaluation