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AravindG

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 :)

  • one year ago
  • one year ago

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  1. lgbasallote
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    with or without calculus?

    • one year ago
  2. AravindG
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    with calculus

    • one year ago
  3. moha_10
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    sorry what do u want exactly ?? @AravindG

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

    • one year ago
  5. AravindG
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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)"

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

    • one year ago
  7. AravindG
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    please share if you have :)

    • one year ago
  8. UnkleRhaukus
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    how many possible tangents does a triangle have?

    • one year ago
  9. AravindG
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    gr8 :) hmm lemme think....6?

    • one year ago
  10. UnkleRhaukus
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    three?

    • one year ago
  11. AravindG
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    are u sure ?

    • one year ago
  12. UnkleRhaukus
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    |dw:1346766221076:dw|

    • one year ago
  13. UnkleRhaukus
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    |dw:1346766232595:dw|

    • one year ago
  14. UnkleRhaukus
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    a tangent is just a flat side

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

    • one year ago
  16. UnkleRhaukus
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    is what sense are those tangents?

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

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

    • one year ago
  19. UnkleRhaukus
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    tangent are ment to approximate the cure as flat

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

    • one year ago
  21. UnkleRhaukus
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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?

    • one year ago
  22. AravindG
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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

    • one year ago
  23. UnkleRhaukus
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    i dont remember the formula at all,

    • one year ago
  24. UnkleRhaukus
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    isn's it just the derivative?

    • one year ago
  25. AravindG
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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

    • one year ago
  26. AravindG
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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 )

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

    • one year ago
  28. AravindG
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    think so ..i am nt sure

    • one year ago
  29. UnkleRhaukus
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    what about one dimension ?

    • one year ago
  30. AravindG
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    tangent is same as function

    • one year ago
  31. UnkleRhaukus
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    hmm

    • one year ago
  32. hartnn
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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.........

    • one year ago
  33. AravindG
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    @hartnn that seems a good idea

    • one year ago
  34. AravindG
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    need more such qns

    • one year ago
  35. mukushla
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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.

    • one year ago
  36. AravindG
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    @mukushla cooooooool!!!!

    • one year ago
  37. .Sam.
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    • one year ago
  38. .Sam.
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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

    • one year ago
  39. mukushla
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    yeah this involves lesser steps...

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

    • one year ago
  41. AravindG
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    2d

    • one year ago
  42. mathmate
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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

    • one year ago
  43. AravindG
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    where do we bring in tangents in that?

    • one year ago
  44. mathmate
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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.

    • one year ago
  45. .Sam.
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    @AravindG are my 4 questions good enough?

    • one year ago
  46. AravindG
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    @.Sam.do u have the answers ?

    • one year ago
  47. .Sam.
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    yeah

    • one year ago
  48. AravindG
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    post it pls

    • one year ago
  49. AravindG
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    yeah ur qns are very useful thx

    • one year ago
  50. .Sam.
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    • one year ago
  51. AravindG
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    thx a lot!!!!

    • one year ago
  52. .Sam.
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    welcome :)

    • one year ago
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