C2 Coordinate geometry

Maths and statistics discussion, revision, exam and homework help.

This thread is sponsored by:
Announcements Posted on
Important: please read these guidelines before posting about exams on The Student Room 28-04-2013
Sign in to Reply
  1. najinaji's Avatar
    • Vengeful, Imperial Overlord of The Student Room
    • Location: London
    • Posts: 3,680
    C2 Coordinate geometry
    Here are the questions:

    1) The points A(-3,19), B(9,11) and C(-15,1) lie on the circumference of a circle. Find the coordinates of the centre of the circle.

    Midpoint = (-3+9/2, 19+11/2) = (-3,15)

    11-19/9+3 = -3/4

    4y=-3x+51

    Did the same for the other one, and got: M.P.(9,10) and 2y=3x-7

    (4y=-3x+51) + (2y=3x+7) -> 6y=44 -> y=44/6=22/3

    Is this right so far?

    2) Find the distance between (-4a,0) and (3a,-2a)

    d=√[(3a+4a)2+(-2a-0)2]
    =√[(7a)2+(-2a)2]
    =√[49a2+4a2 = √53a2

    Would the answer be √53a or 53a?
  2. Math12345's Avatar
    • Exalted Member
    • Posts: 286
    Re: C2 Coordinate geometry
    It is 53a, because the square root cancels out with the squared. Remember it is \sqrt{(53a)}^2.
    Last edited by Math12345; 07-04-2012 at 18:20.
  3. TenOfThem's Avatar
    • No --- I am a Newbie --- Honest
    Re: C2 Coordinate geometry
    Sqrt{53}
  4. TenOfThem's Avatar
    • No --- I am a Newbie --- Honest
    Re: C2 Coordinate geometry
    (Original post by Math12345)
    It is 53a, because the square root cancels out with the squared. Remember it is sqrt(53a)^2
    No it isn't
Sign in to Reply
Share this discussion:  
Article updates
Moderators

We have a brilliant team of more than 60 volunteers looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Reputation gems:
The Reputation gems seen here indicate how well reputed the user is, red gem indicate negative reputation and green indicates a good rep.
Post rating score:
These scores show if a post has been positively or negatively rated by our members.