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Question Number 80900 by ajfour last updated on 07/Feb/20

Commented by ajfour last updated on 07/Feb/20

$$Findtheradius\left(equal\right)ofthe$$$$circles.$$

Answered by ajfour last updated on 07/Feb/20

$$LetC(h,h^2)$$$$andinclinationofABbe\theta .$$$$\tan \theta =\frac{1}{2h},r\cos \theta =h,$$$$also{h}^2=r+r\sin \theta$$$$\Rightarrow r\sin \theta =\frac{1}{2}$$$$r^2-\frac{1}{4}=r+\frac{1}{2}$$$$\Rightarrow 4r^2-4r-3=0$$$$r=\frac{1}{2}+\sqrt{\frac{1}{4}+\frac{3}{4}}=\frac{3}{2}.$$

Commented by peter frank last updated on 08/Feb/20

$$pleasehelp78652$$

Commented by mr W last updated on 08/Feb/20

$$ihavesolved78652foryou.$$

Commented by peter frank last updated on 08/Feb/20

$$thankyousirmrw$$

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