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Category: Geometry

Question-158893

Question Number 158893 by ajfour last updated on 10/Nov/21 Answered by ajfour last updated on 10/Nov/21 $$\frac{{r}^{\mathrm{4}} −\left({r}+{c}\right)^{\mathrm{2}} }{{c}}=\frac{{r}^{\mathrm{2}} }{\:{r}^{\mathrm{2}} −\mathrm{1}} \\ $$$${r}^{\mathrm{3}} −{r}={c}\:\:\:\:\Rightarrow\:\:{r}^{\mathrm{6}} =\left({r}+{c}\right)^{\mathrm{2}}…

Question-27627

Question Number 27627 by Rasheed.Sindhi last updated on 11/Jan/18 Commented by Rasheed.Sindhi last updated on 11/Jan/18 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{radius}\:\mathrm{r}.\:\mathrm{AB}\:\&\:\mathrm{CD} \\ $$$$\mathrm{are}\:\mathrm{two}\:\mathrm{chords}\:\mathrm{intersecting}\:\mathrm{at}\:\mathrm{E} \\ $$$$\mathrm{OX}\:\mathrm{and}\:\mathrm{OY}\:\mathrm{are}\:\mathrm{respective}\:\mathrm{distances} \\ $$$$\mathrm{of}\:\mathrm{chords}\:\mathrm{CD}\:\mathrm{and}\:\mathrm{AB}\:\:\mathrm{from}\:\mathrm{center} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{circle}.…