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 2 years ago
Can anyone give me some tricky , or conceptual questions on "tangents and normals" which i can use to teach my fellow students in a lecture tomorrow .I am equipped with ordinary questions(like finding equation of tangent and normal when function is given) but i want the students to use their brains..do help please :)
 2 years ago
Can anyone give me some tricky , or conceptual questions on "tangents and normals" which i can use to teach my fellow students in a lecture tomorrow .I am equipped with ordinary questions(like finding equation of tangent and normal when function is given) but i want the students to use their brains..do help please :)

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lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0with or without calculus?

moha_10
 2 years ago
Best ResponseYou've already chosen the best response.0sorry what do u want exactly ?? @AravindG

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1any suggestion ? @UnkleRhaukus , @ujjwal , @dumbcow , @Hero , @Callisto , @.Sam. , @satellite73

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1@moha_10 i need a questions above ordinary level which are tricky and need use of "brain" on the topic "tangents and normals".As i told "I am equipped with ordinary questions(like finding equation of tangent and normal when function is given)"

vishweshshrimali5
 2 years ago
Best ResponseYou've already chosen the best response.0Hi @AravindG you can use the study material of some coaching centres of IIT they have many such questions

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1please share if you have :)

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1how many possible tangents does a triangle have?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1gr8 :) hmm lemme think....6?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1346766221076:dw

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1346766232595:dw

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1a tangent is just a flat side

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1346766337812:dw i thought there will be these 3 also ..kk gt it bt wasnt tht question too simple?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1is what sense are those tangents?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1i thought if we where asked to draw tangents at vertices we draw like that

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2aren't tangents suppose to touch the curve only in one point ? @UnkleRhaukus

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1tangent are ment to approximate the cure as flat

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1@UnkleRhaukus can u think of better qns (involving calculs) ?

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1do we usually define the normal as pointing out from the curve or in ? are there two normals to a flat line?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1u see there are a few students who just byheart the formula and appy it mechanically .. i want to teach them why using brain is important

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1i dont remember the formula at all,

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1isn's it just the derivative?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1nt formula i mean mechanical proces like finding f'(x) then using slope point form get to eqn of tangent and normal

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1i need to get qns which are one steap ahead(which require use of brain") of these usual qns (bt focusing on the same idea )

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1in three dimensions the tangent is a plane right/?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1think so ..i am nt sure

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.1what about one dimension ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1tangent is same as function

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2maybe u can give a equation of a circle and ask them to find the equation of tangent passing through (a,b) where (a,b) is either center or inner point of a circle...they would not be able to find slope only.........

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1@hartnn that seems a good idea

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.1Find all values of a for which 2 curves\[y=ax^2+ax+1\]\[x=ay^2+ay+1\]are tangent to each other.

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1@mukushla cooooooool!!!!

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1@mukushla I think if y=ax^2+ax+1 x=2ay+1 will be workable, changed the y^2 to y

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.1yeah this involves lesser steps...

mathmate
 2 years ago
Best ResponseYou've already chosen the best response.0@AravindG Is your class working in 2d or 3d?

mathmate
 2 years ago
Best ResponseYou've already chosen the best response.0Try: Find the shortest distance between two curves f1(x) and f2(x). Example: f1(x)=x^2, and f2(x)=2(x1)^2+4

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1where do we bring in tangents in that?

mathmate
 2 years ago
Best ResponseYou've already chosen the best response.0This is not an easy problem, because the tangents have to be parallel, but at different values of x on each curve. They would minimize the distance after that.

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.1@AravindG are my 4 questions good enough?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1@.Sam.do u have the answers ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1yeah ur qns are very useful thx
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