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AravindG
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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
 2 years ago
AravindG Group Title
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
 2 years ago

This Question is Closed

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

AravindG Group TitleBest ResponseYou've already chosen the best response.1
with calculus
 2 years ago

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

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

AravindG Group TitleBest 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)"
 2 years ago

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

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

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

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

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
three?
 2 years ago

AravindG Group TitleBest ResponseYou've already chosen the best response.1
are u sure ?
 2 years ago

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

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

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

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

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

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

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

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

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

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

AravindG Group TitleBest ResponseYou've already chosen the best response.1
u 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
 2 years ago

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

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

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

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

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

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

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

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

hartnn Group TitleBest ResponseYou've already chosen the best response.2
maybe 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.........
 2 years ago

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

AravindG Group TitleBest ResponseYou've already chosen the best response.1
need more such qns
 2 years ago

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

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

.Sam. Group TitleBest 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
 2 years ago

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

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

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

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

mathmate Group TitleBest ResponseYou've already chosen the best response.0
This 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.
 2 years ago

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

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

AravindG Group TitleBest ResponseYou've already chosen the best response.1
post it pls
 2 years ago

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

AravindG Group TitleBest ResponseYou've already chosen the best response.1
thx a lot!!!!
 2 years ago
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