Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Online

    9
    ReputationRep:
    How do i attempt this type of questions ? (Coordinate Geometry Pure1 CIE)

    https://gyazo.com/642868d38bef566474540f90b6998b82
    Offline

    4
    ReputationRep:
    [full solution removed]
    • Community Assistant
    • Welcome Squad
    Online

    20
    ReputationRep:
    Community Assistant
    Welcome Squad
    (Original post by Jian17)
    How do i attempt this type of questions ? (Coordinate Geometry Pure1 CIE)

    https://gyazo.com/642868d38bef566474540f90b6998b82
    Well, what's the one piece of information that you need before you work out the coordinates of A and B?
    Offline

    4
    ReputationRep:
    For the second part of the question, the gradient of the perpendicular line is 1/-2. Find the equation of this line using point P and find point C. Midpoint is the sum of the coordinates of P and C divided by 2. Then show that for the midpoint, y=x.
    Offline

    10
    ReputationRep:
    (Original post by JohnCena927)
    For the second part of the question, the gradient of the perpendicular line is 1/-2.
    Are you sure?

    Note the gradient of a line multiplied by gradient of its perpendicular is -1.
    • Thread Starter
    Online

    9
    ReputationRep:
    (Original post by RDKGames)
    Well, what's the one piece of information that you need before you work out the coordinates of A and B?
    Uhmm... The equation of the line?

    EDIT: Oh wait, you use the point-slope form of line formula right?
    • Community Assistant
    • Welcome Squad
    Online

    20
    ReputationRep:
    Community Assistant
    Welcome Squad
    (Original post by Jian17)
    Uhmm... The equation of the line?
    Yeah, find it
    • Thread Starter
    Online

    9
    ReputationRep:
    (Original post by RDKGames)
    Yeah, find it
    y - y1 = m ( x - x1)

    y - 2t = -2 (x - 3t)

    y = -2x + 8t

    Do I find points A and B now ?
    • Community Assistant
    • Welcome Squad
    Online

    20
    ReputationRep:
    Community Assistant
    Welcome Squad
    (Original post by Jian17)
    y - y1 = m ( x - x1)

    y - 2t = -2 (x - 3t)

    y = -2x + 8t

    Do I find points A and B now ?
    Yes.
    • Thread Starter
    Online

    9
    ReputationRep:
    (Original post by RDKGames)
    Yes.
    I use cover up method:

    2x = 8t
    x = 4t

    y = 8t

    Points equal (I think):

    (4t, 0) (0, 8t)

    How do i find the area of triangle in terms of t now?
    • Community Assistant
    • Welcome Squad
    Online

    20
    ReputationRep:
    Community Assistant
    Welcome Squad
    (Original post by Jian17)
    I use cover up method:

    2x = 8t
    x = 4t

    y = 8t

    Points equal (I think):

    (4t, 0) (0, 8t)

    How do i find the area of triangle in terms of t now?
    Well your triangle is defined by three points, O, A, and B. You found two of the three, and the other one is regarded as the origin. So just draw a quick sketch of the configuration of your points on a plane, then it should be obvious how to find the area.
    • Thread Starter
    Online

    9
    ReputationRep:
    (Original post by RDKGames)
    Well your triangle is defined by three points, O, A, and B. You found two of the three, and the other one is regarded as the origin. So just draw a quick sketch of the configuration of your points on a plane, then it should be obvious how to find the area.
    (8t * 4t) / 2

    = 16t^2 ?
    • Community Assistant
    • Welcome Squad
    Online

    20
    ReputationRep:
    Community Assistant
    Welcome Squad
    (Original post by Jian17)
    (8t * 4t) / 2

    = 16t^2 ?
    Yes.

    I get the impression that you're unsure of any step you take in a simple procedure like this for some reason. It's literally as simple as that.
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Would you like to hibernate through the winter months?
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Quick reply
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.