Turn on thread page Beta
    • Thread Starter
    Offline

    0
    ReputationRep:
    I need help with some core 1 work please, question is below;

    14 (a) Find the equation of the line l through the point A(2,3) with gradient -1/2
    (b) Show that the point P with coordinates (2+2t, 3-t) will always lie on l whatever the value of t.
    (c) Find the values of t such that the length AP is 5 units.
    (d) Find the value of t such that OP is perpendicular to l (where O is the origin). Hence find the length of the perpendicular from O to l.

    I have completed parts (a) - (c) with the correct answers but please could you help with part (d).

    Thanks
    Offline

    11
    ReputationRep:
    The key point here is that in part b you know the set of point on l.
    You also know that two perpendicular gradients multiply to give -1.
    You have a point and the origin hence you can find the length
    Offline

    2
    ReputationRep:
    (Original post by hannahguze99)
    I need help with some core 1 work please, question is below;

    14 (a) Find the equation of the line l through the point A(2,3) with gradient -1/2
    (b) Show that the point P with coordinates (2+2t, 3-t) will always lie on l whatever the value of t.
    (c) Find the values of t such that the length AP is 5 units.
    (d) Find the value of t such that OP is perpendicular to l (where O is the origin). Hence find the length of the perpendicular from O to l.

    I have completed parts (a) - (c) with the correct answers but please could you help with part (d).

    Thanks
    For part (d) you know the line OP is perpendicular to the line l. What does this tell you about the gradient of OP?

    Once you've got the gradient, you also know it passes through the point (0,0). Hope I've given enough of a hint
    • Thread Starter
    Offline

    0
    ReputationRep:
    Thank you both for your help
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: September 7, 2015

University open days

  1. University of Bradford
    University-wide Postgraduate
    Wed, 25 Jul '18
  2. University of Buckingham
    Psychology Taster Tutorial Undergraduate
    Wed, 25 Jul '18
  3. Bournemouth University
    Clearing Campus Visit Undergraduate
    Wed, 1 Aug '18
Poll
How are you feeling in the run-up to Results Day 2018?
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

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

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