Math Is Fun Forum

RauLiTo

Member

From: Bahrain

Registered: 2006-01-11

Posts: 142

in the circle

get A and B which make ( AX + BY ) ² = X (4 Y - 3 X ) + 1 an equation for a circle and then get the centre and the radius .

help please

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ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: in the circle

A²X²+2ABXY+B²Y²=4XY-3X²+1
(A²+3)X²+(2AB-4)XY+B²Y²=1

∴2AB-4=0 AND A²+3=B² AND CENTER IS (0,0)
X²/P²+Y²/P²=1 WHERE 1/P²=A²+3=B²
X²+Y²=P² SO THE RADIUS IS P

A=2/B, 4/B²+3=B²=DEF=X
4/X+3=X

you can go on from here

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X'(y-Xβ)=0

RauLiTo

Member

From: Bahrain

Registered: 2006-01-11

Posts: 142

Re: in the circle

excuse me can you finish it please ?
it sometimes seems difficult for me to translate that to arabic u know ... sorry everybody for botering

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ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: in the circle

4/X+3=X
4+3X=X²
(X-4)(X+1)=0
X=4 and radius r=√x=2
center is O, (0,0)

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X'(y-Xβ)=0

RauLiTo

Member

From: Bahrain

Registered: 2006-01-11

Posts: 142

Re: in the circle

thanks man

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ImPo$$!BLe = NoTH!nG
Go DowN DeeP iNTo aNyTHinG U WiLL FinD MaTHeMaTiCs ...