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2005 paper 2, Q 3c - HSN forum

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2005 paper 2, Q 3c


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#1 *fe*

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Posted 18 May 2006 - 07:12 PM

The point C is the centre of a circle with tangent of equation x + 3y = 1 at A (1,0)

the equation of radius CA is y = 3x + 3 .

(also given info about a chord joining A and B (5,4) - eqn. of AB's perpendicular bisector is x + 3y = 1 but i dont think this helps)

Determine the coordinates of point C.

Is this a distance formula question? confused.

#2 dondon

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Posted 18 May 2006 - 07:33 PM

I don't think its a distance question, Iworked out what I done last year on this question by looking at the stupid drwings i made on my paper lol

firstly this is very difficult to explsin without diagrams so ill try my best.

Use the equation of the perpindicular bisector in a) which is x+y=5 and the equation of the that you worked out in part b which is y= 3x-3.

Then use simultaneous equations with the equation of of CA and the perpindicular bisector. And I get (3,2) for the centre of the circle.

This may be wrong though as its been a year since i've done anything like this. But it looks like it might be right.

#3 Dave

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Posted 18 May 2006 - 07:38 PM

am i right in saying the line going through C is the perpendicular bisector mentioned in part a which is x+y=5 ?

If i am not here i am somewhere else



#4 dondon

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Posted 18 May 2006 - 07:39 PM

ahh yes, i worked that bit out wrong, ill edit the answer

EDIT: I see what I done wrong now I just got mixed up with the 2 equations. but the final answer is still the same.

EDIT2: anyway thats wrong just ignore my last post just now

EDIT3: infact I was right, I'm not doing this again lol

#5 dondon

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Posted 18 May 2006 - 08:05 PM

QUOTE(*fe* @ May 18 2006, 08:12 PM) View Post



the equation of radius CA is y = 3x + 3 .




This equation is actually y=3x-3
EDIT: and a lot of the equations you've put in your post are not the right ones.

The perpindicular bisector is x+y=5

ANd the tangent that goes through point A isn't the same as the Radius CA which is y=x-1.

#6 John

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Posted 18 May 2006 - 08:34 PM

No bloody wonder i couldnt get the correct answer lol

And *fe* you have stressed me, if i fail tomorrow i'm sueing you!!!!!

#7 *fe*

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Posted 18 May 2006 - 08:49 PM



And *fe* you have stressed me, if i fail tomorrow i'm sueing you!!!!!
[/quote]

hello,

very very sorry - i did check my post before sending - clearly not very well! please dont be angry - was my first post and i think all this revision is getting to my head.

thankyou all for your help, and if u r stressed can i suggest u have a cup of tea. im having some now. smile.gif

thanks again and best of luck for the exam









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