Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta
    • Thread Starter
    Offline

    3
    ReputationRep:
    A line, L, has equation y=mx and a circle, C, has equation
    x^2+y^2-6x-4y+9=0

    A) given that L is a tangent to C find the possible values of m

    B) find the range of values of m, given that L intersects C in two distinct places.

    C) find the range of values of m, given that L and C do not intersect.

    For part A, I figured out one of the values of M would be 0, but can't find the other value, and I need help with parts B and C
    • Political Ambassador
    Offline

    3
    ReputationRep:
    Political Ambassador
    (Original post by Vorsah)
    A line, L, has equation y=mx and a circle, C, has equation
    x^2+y^2-6x-4y+9=0

    A) given that L is a tangent to C find the possible values of m

    B) find the range of values of m, given that L intersects C in two distinct places.

    C) find the range of values of m, given that L and C do not intersect.

    For part A, I figured out one of the values of M would be 0, but can't find the other value, and I need help with parts B and C
    Substitute in.

    For (A), you need the discriminant to show a repeated root.

    For (B), you need the discriminant to show that there are 2 distinct roots

    For (C), you need the discriminant to show that there is no intersection (i.e ...)

    Can you go from there?
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: April 8, 2013
Poll
Do you agree with the proposed ban on plastic straws and cotton buds?
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.