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maths question, pretty basic i think.. watch

1. Hi just a quick question.

Just got my C1 book delivered and working through it.. pretty basic stuff just 1q.

'Show that points (7,12), (-3, -12), (14, -5) lie on a circle with centre (2, 0)'

A (7,12)
B (-3, -12)
C (14, -5)

calculated

AB = ^2root 676
AC = ^root 338
BC = ^root 338

So i understand that the coordinates plot an isosceles triangle but how does it show that the ponts lie on a circle with centre (2, 0)??

Thanks
2. The equation for that circle is , where is currently unknown. Put the values for each point you have into that equation and they should all give the same.
3. (Original post by Cerdog)
The equation for that circle is , where is currently unknown. Put the values for each point you have into that equation and they should all give the same.
nice one, cheers
4. (Original post by Bleak Lemming)
Hi just a quick question.

Just got my C1 book delivered and working through it.. pretty basic stuff just 1q.

'Show that points (7,12), (-3, -12), (14, -5) lie on a circle with centre (2, 0)'

A (7,12)
B (-3, -12)
C (14, -5)

calculated

AB = ^2root 676
AC = ^root 338
BC = ^root 338

So i understand that the coordinates plot an isosceles triangle but how does it show that the ponts lie on a circle with centre (2, 0)??

Thanks
If it's Edexcel then you don't encounter the circle equation until C2.
However, you can show that A, B and C are all the same distance from (2,0)
5. (Original post by gdunne42)
If it's Edexcel then you don't encounter the circle equation until C2.
However, you can show that A, B and C are all the same distance from (2,0)
Thanks,

Its an OCR text book but not sitting exams, just self teaching

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