Questions about tangents and normals

QueekJJ

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Mar 14, 2021
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I had tried many different ways to understand this question, but i cant seem to find what the question really wants from me. I understand the curve equation, its just that the 2 normal points (P and Q) doesnt make sense to me. Could someone maybe explain what am I to do? Thanks :D
 

R.M.

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Aug 5, 2019
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A normal at a point is perpendicular to the tangent line at that same point. What is the relationship between the slopes of perpendicular lines?
 

QueekJJ

New member
Joined
Mar 14, 2021
Messages
6
A normal at a point is perpendicular to the tangent line at that same point. What is the relationship between the slopes of perpendicular lines?
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I did a quick sketch on paint lmaooo. Do you mean something like this? If so how would i solve it?
 

Dr.Peterson

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Nov 12, 2017
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I had tried many different ways to understand this question, but i cant seem to find what the question really wants from me. I understand the curve equation, its just that the 2 normal points (P and Q) doesnt make sense to me. Could someone maybe explain what am I to do? Thanks :D
You can find the slope of the curve at each point, right? (Hint: use the derivative)

Then, you were asked if you know how the slopes of perpendicular lines are related. (Hint: negative reciprocal)

Then you can find the slopes of the normal lines, and find their equations, and find their intersection.

Which parts of that are you struggling with?
 
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