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Category: Geometry

Find-equation-of-line-through-A-1-2-3-and-parallel-to-y-axis-

Question Number 97929 by bobhans last updated on 10/Jun/20 $$\mathrm{Find}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{line}\:\mathrm{through}\:\mathrm{A}\left(\mathrm{1},\mathrm{2},\mathrm{3}\right) \\ $$$$\mathrm{and}\:\mathrm{parallel}\:\mathrm{to}\:\mathrm{y}\:\mathrm{axis}\:?\: \\ $$ Commented by mr W last updated on 10/Jun/20 $$\frac{{x}−\mathrm{1}}{\mathrm{0}}=\frac{{y}−\mathrm{2}}{\mathrm{1}}=\frac{{z}−\mathrm{3}}{\mathrm{0}} \\ $$$${or}…

Question-163413

Question Number 163413 by mr W last updated on 06/Jan/22 Commented by mr W last updated on 06/Jan/22 $${AB}={AC}={DC}=\mathrm{1},\:{say} \\ $$$${BC}=\mathrm{2}\:\mathrm{cos}\:\mathrm{40} \\ $$$${BD}=\mathrm{2}\:\mathrm{cos}\:\mathrm{40}−\mathrm{1} \\ $$$${ED}=\frac{{BD}}{\mathrm{2}\:\mathrm{cos}\:\mathrm{40}}=\frac{\mathrm{2}\:\mathrm{cos}\:\mathrm{40}−\mathrm{1}}{\mathrm{2}\:\mathrm{cos}\:\mathrm{40}}…

Question-163292

Question Number 163292 by amin96 last updated on 05/Jan/22 Answered by mr W last updated on 05/Jan/22 $${say}\:{CD}={AD}=\mathrm{1} \\ $$$${AC}=\mathrm{2}\:\mathrm{cos}\:\mathrm{10}° \\ $$$$\frac{{BC}}{\mathrm{sin}\:\mathrm{20}}=\frac{{AC}}{\mathrm{sin}\:\left(\mathrm{30}+\mathrm{20}\right)} \\ $$$$\Rightarrow{BC}=\frac{\mathrm{2}\:\mathrm{cos}\:\mathrm{10}\:\mathrm{sin}\:\mathrm{20}}{\mathrm{sin}\:\mathrm{50}} \\…

Question-163143

Question Number 163143 by amin96 last updated on 04/Jan/22 Commented by HongKing last updated on 04/Jan/22 $$\mathrm{r}^{\mathrm{2}} \:=\:\mathrm{r}\:+\:\mathrm{2021}\:+\:\mathrm{2021}^{\mathrm{2}} \\ $$$$\mathrm{r}^{\mathrm{2}} \:-\:\mathrm{r}\:-\:\mathrm{2021}^{\mathrm{2}} \:-\:\mathrm{2021}\:=\:\mathrm{0} \\ $$$$\mathrm{r}\:=\:-\:\mathrm{2021}\:;\:\mathrm{2022}\:\Rightarrow\:\mathrm{r}\:=\:\mathrm{2022}\:\checkmark \\…