A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Loser66

  • one year ago

\(\sqrt{(x+3)^2+(y-2)^2}=\sqrt{(x-3)^2+y^2}\) In the xy plane, the set of points whose coordinates satisfy the equation above is?? 1) A line 2) A circle 3) An ellipse 4) A parabola 5) One branch of a hyperbola Please, help

  • This Question is Closed
  1. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Notice the distance formulas on left and right hand sides, the given equation is same as : ``` distance between (x,y) and (-3, 2) = distance between (x, y) and (3, 0) ```

  2. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so you need to find the locus of points that stay at same distance from two points : (-3, 2) and (3, 0)

  3. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thats exactly the definition of perpendicular bisector!

  4. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Got you, thank you so much.

  5. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Damn!! They are distance formulas!! how can I not see it!!

  6. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Haha solving them is fun too, square both sides and all quadratic terms cancel out.. gives the equation of perpendicular bisector..

  7. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I did that way but stop at square both sides and look at the square of x and y, I think there must be other way to find the answer out quickly. So that I stopped and post the question. hehehe... I got it from you. Thank you so much

  8. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.