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Category: Geometry

Question-65325

Question Number 65325 by Tawa1 last updated on 28/Jul/19 Commented by Tony Lin last updated on 28/Jul/19 $$\left({a}\right)\left({i}\right) \\ $$$$\left({i}\right){O}\overset{\rightarrow} {{E}}=\lambda{O}\overset{\rightarrow} {{D}}+\left(\mathrm{1}−\lambda\right){O}\overset{\rightarrow} {{C}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=\lambda\left(\mathrm{4}\overset{\rightarrow}…

Question-65281

Question Number 65281 by mr W last updated on 27/Jul/19 Commented by mr W last updated on 27/Jul/19 $${segment}\:{of}\:{circle}\:{with}\:{size}\:\mathrm{2}{c}×{d}.\:\left({d}\leqslant{c}\right) \\ $$$${find}\:{the}\:{inscribed}\:{ellipse}\:{with} \\ $$$${maximum}\:{area}. \\ $$…

all-square-is-a-rhombus-why-

Question Number 65189 by arcana last updated on 26/Jul/19 $${all}\:{square}\:{is}\:{a}\:{rhombus}.\:{why}? \\ $$ Answered by MJS last updated on 26/Jul/19 $$\mathrm{a}\:\mathrm{rhombus}\:\mathrm{has}\:\mathrm{2}\:\mathrm{parallel}\:\mathrm{pairs}\:\mathrm{of}\:\mathrm{sides},\:\mathrm{all} \\ $$$$\mathrm{of}\:\mathrm{them}\:\mathrm{of}\:\mathrm{equal}\:\mathrm{length} \\ $$$$\mathrm{a}\:\mathrm{square}\:\mathrm{is}\:\mathrm{a}\:\mathrm{special}\:\mathrm{kind}\:\mathrm{of}\:\mathrm{rhombus} \\…