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AravindG

  • 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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  1. lgbasallote
    • 2 years ago
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    with or without calculus?

  2. AravindG
    • 2 years ago
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    with calculus

  3. moha_10
    • 2 years ago
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    sorry what do u want exactly ?? @AravindG

  4. AravindG
    • 2 years ago
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    any suggestion ? @UnkleRhaukus , @ujjwal , @dumbcow , @Hero , @Callisto , @.Sam. , @satellite73

  5. AravindG
    • 2 years ago
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    @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)"

  6. vishweshshrimali5
    • 2 years ago
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    Hi @AravindG you can use the study material of some coaching centres of IIT they have many such questions

  7. AravindG
    • 2 years ago
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    please share if you have :)

  8. UnkleRhaukus
    • 2 years ago
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    how many possible tangents does a triangle have?

  9. AravindG
    • 2 years ago
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    gr8 :) hmm lemme think....6?

  10. UnkleRhaukus
    • 2 years ago
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    three?

  11. AravindG
    • 2 years ago
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    are u sure ?

  12. UnkleRhaukus
    • 2 years ago
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    |dw:1346766221076:dw|

  13. UnkleRhaukus
    • 2 years ago
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    |dw:1346766232595:dw|

  14. UnkleRhaukus
    • 2 years ago
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    a tangent is just a flat side

  15. AravindG
    • 2 years ago
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    |dw:1346766337812:dw| i thought there will be these 3 also ..kk gt it bt wasnt tht question too simple?

  16. UnkleRhaukus
    • 2 years ago
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    is what sense are those tangents?

  17. AravindG
    • 2 years ago
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    i thought if we where asked to draw tangents at vertices we draw like that

  18. hartnn
    • 2 years ago
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    aren't tangents suppose to touch the curve only in one point ? @UnkleRhaukus

  19. UnkleRhaukus
    • 2 years ago
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    tangent are ment to approximate the cure as flat

  20. AravindG
    • 2 years ago
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    @UnkleRhaukus can u think of better qns (involving calculs) ?

  21. UnkleRhaukus
    • 2 years ago
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    do we usually define the normal as pointing out from the curve or in ? are there two normals to a flat line?

  22. AravindG
    • 2 years ago
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    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

  23. UnkleRhaukus
    • 2 years ago
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    i dont remember the formula at all,

  24. UnkleRhaukus
    • 2 years ago
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    isn's it just the derivative?

  25. AravindG
    • 2 years ago
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    nt formula i mean mechanical proces like finding f'(x) then using slope point form get to eqn of tangent and normal

  26. AravindG
    • 2 years ago
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    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 )

  27. UnkleRhaukus
    • 2 years ago
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    in three dimensions the tangent is a plane right/?

  28. AravindG
    • 2 years ago
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    think so ..i am nt sure

  29. UnkleRhaukus
    • 2 years ago
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    what about one dimension ?

  30. AravindG
    • 2 years ago
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    tangent is same as function

  31. UnkleRhaukus
    • 2 years ago
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    hmm

  32. hartnn
    • 2 years ago
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    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.........

  33. AravindG
    • 2 years ago
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    @hartnn that seems a good idea

  34. AravindG
    • 2 years ago
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    need more such qns

  35. mukushla
    • 2 years ago
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    Find all values of a for which 2 curves\[y=ax^2+ax+1\]\[x=ay^2+ay+1\]are tangent to each other.

  36. AravindG
    • 2 years ago
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    @mukushla cooooooool!!!!

  37. .Sam.
    • 2 years ago
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  38. .Sam.
    • 2 years ago
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    @mukushla I think if y=ax^2+ax+1 x=2ay+1 will be workable, changed the y^2 to y

  39. mukushla
    • 2 years ago
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    yeah this involves lesser steps...

  40. mathmate
    • 2 years ago
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    @AravindG Is your class working in 2-d or 3-d?

  41. AravindG
    • 2 years ago
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    2d

  42. mathmate
    • 2 years ago
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    Try: Find the shortest distance between two curves f1(x) and f2(x). Example: f1(x)=x^2, and f2(x)=2(x-1)^2+4

  43. AravindG
    • 2 years ago
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    where do we bring in tangents in that?

  44. mathmate
    • 2 years ago
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    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.

  45. .Sam.
    • 2 years ago
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    @AravindG are my 4 questions good enough?

  46. AravindG
    • 2 years ago
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    @.Sam.do u have the answers ?

  47. .Sam.
    • 2 years ago
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    yeah

  48. AravindG
    • 2 years ago
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    post it pls

  49. AravindG
    • 2 years ago
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    yeah ur qns are very useful thx

  50. .Sam.
    • 2 years ago
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  51. AravindG
    • 2 years ago
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    thx a lot!!!!

  52. .Sam.
    • 2 years ago
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    welcome :)

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