Practice Slope Of The Normal (2.2) - Tangents and Normals - IB 10 Mathematics

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the slope of the normal line if the slope of the tangent line at a point is 2?
Show hintHide hint
Recall the relationship between tangent and normal slopes.
Question 2.
State the formula for the slope of the normal line.
Show hintHide hint
This is a negative reciprocal relationship.
3Question 3.
What is the slope of the normal line if the slope of the tangent line is 3?
- 1/3
- -1/3
- 3
Show hintHide hint
Think about how reciprocals work.
4Question 4.
True or False: The normal line is always a straight line.
- True
- False
Show hintHide hint
Consider the properties of lines.
Question 5.
For the curve y=x^2, calculate the slope of the normal at x=3 and provide the full equation for the normal line.
Show hintHide hint
Differentiate first, then apply the normal slope logic.
Question 6.
A curve defined by y=sin(x) has its point of interest at x=π/4. Find the normal line's equation.
Show hintHide hint
Use derivatives and trigonometric identities effectively.

4 more questions in this section. Enroll free to practise them all.