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Question Number 190019 by ajfour last updated on 26/Mar/23

Commented by ajfour last updated on 26/Mar/23

$$Givenpandq.Findr.$$$$Parabolaisy=x^2.$$

Commented by mr W last updated on 26/Mar/23

$$youhavegiven$$$$r=\frac{\sqrt{q^2-p^2}}{2}$$

Commented by ajfour last updated on 26/Mar/23

$$oops!,forgetqbeinggivwn.$$

Answered by ajfour last updated on 26/Mar/23

$$A(-s,s^2);\tan \alpha =2s$$$$B(t,t^2);\tan \beta =2t$$$$-s+r\sin \alpha =p\cos \theta$$$$s^2+r\cos \alpha =p\sin \theta$$$$-p\cos \theta +2r\sin \theta +r\sin \beta =t$$$$p\sin \theta +2r\cos \theta -r\cos \beta =t^2$$$$..$$

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