Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Yahoo!

  • one year ago

The x co-ordinate of a point on the curve 9y^2 = x^3 , the normal at which cuts off equal intercept on the axes is ?

  • This Question is Closed
  1. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @shubhamsrg

  2. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    dy/dx =x^2/(6y)

  3. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    gradient of normal is -6y/(x^2)

  4. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Nw wat to do ?

  5. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    -6y/x^2 is the slope of a line which cuts of equal intercepts as x axis.

  6. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hence slope should be equal to 1 or -1.

  7. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    "-6y/x^2 is the slope of a line which cuts of equal intercepts ON THE axes.

  8. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1359206768852:dw|

  9. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Did nt get u

  10. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    -6y/x^2 is the slope of the normal right ?

  11. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yup

  12. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and we are given that the normal cuts of equal intercepts on the axes.

  13. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok...then

  14. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    let the Points be (a,0) and (0,a ) ryt ?

  15. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    any line which cuts off equal intercepts on the axes must have a slope of 1 or -1 right? Since it is making an angle of pi/4 or 3pi/4 with the +ve X axes.

  16. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (a-0) / (0-a) = -1

  17. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What I mean is -6y /x^2 = 1 and/or -1

  18. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok...

  19. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we also know y = x^(3/2) /3 or -x^(3/2) /3

  20. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  21. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    substitute in the previous eqn to find the required value(s) of x

  22. Yahoo!
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah got it..:) thxx

  23. shubhamsrg
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    glad you did. ^_^

  24. Not the answer you are looking for?
    Search for more explanations.

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.