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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the slope of the normal line if the slope of the tangent line at a point is 2?
💡 Hint: Recall the relationship between tangent and normal slopes.
Question 2
Easy
State the formula for the slope of the normal line.
💡 Hint: This is a negative reciprocal relationship.
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 the slope of the normal line if the slope of the tangent line is 3?
- 1/3
- -1/3
- 3
💡 Hint: Think about how reciprocals work.
Question 2
True or False: The normal line is always a straight line.
- True
- False
💡 Hint: Consider the properties of lines.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For the curve y=x^2, calculate the slope of the normal at x=3 and provide the full equation for the normal line.
💡 Hint: Differentiate first, then apply the normal slope logic.
Question 2
A curve defined by y=sin(x) has its point of interest at x=π/4. Find the normal line's equation.
💡 Hint: Use derivatives and trigonometric identities effectively.
Challenge and get performance evaluation