Question Number 57212 by Tinkutara last updated on 31/Mar/19 Answered by ajfour last updated on 31/Mar/19 $$\mathrm{a}−\mathrm{2}\sqrt{\mathrm{bc}}=\mathrm{b}+\mathrm{c} \\ $$$$\Rightarrow\:\:\mathrm{c}+\mathrm{2}\sqrt{\mathrm{b}}\sqrt{\mathrm{c}}+\left(\mathrm{b}−\mathrm{a}\right)=\mathrm{0} \\ $$$$\Rightarrow\:\:\sqrt{\mathrm{c}}=\frac{−\mathrm{2}\sqrt{\mathrm{b}}\pm\sqrt{\mathrm{4b}−\mathrm{4}\left(\mathrm{b}−\mathrm{a}\right)}}{\mathrm{2}} \\ $$$$\Rightarrow\:\:\sqrt{\mathrm{c}}=−\sqrt{\mathrm{b}}\pm\sqrt{\mathrm{a}} \\ $$$$\mathrm{but}\:\mathrm{since}\:\sqrt{\mathrm{c}}\:>\mathrm{0}\:\mathrm{so}\:\mathrm{we}\:\mathrm{just}\:\mathrm{consider}…
Question Number 57175 by Tinkutara last updated on 31/Mar/19 Commented by Tinkutara last updated on 31/Mar/19 Please help in all the 3 questions! Commented by mr W last updated on 31/Mar/19…
Question Number 57174 by Tinkutara last updated on 31/Mar/19 Answered by ajfour last updated on 31/Mar/19 $$\mathrm{eq}.\:\mathrm{of}\:\mathrm{L} \\ $$$$\mathrm{y}=\mathrm{3}+\mathrm{rsin}\:\theta\:\:,\:\:\mathrm{x}=\mathrm{2}+\mathrm{rcos}\:\theta \\ $$$$\mathrm{Q}\equiv\left(\mathrm{2}+\mathrm{Rcos}\:\theta,\mathrm{3}+\mathrm{Rsin}\:\theta\right)\equiv\left(\mathrm{h},\mathrm{k}\right) \\ $$$$\mathrm{3}+\mathrm{r}_{\mathrm{A}} \mathrm{sin}\:\theta=\mathrm{12}+\mathrm{r}_{\mathrm{A}} \mathrm{cos}\:\theta…
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Question Number 188177 by cortano12 last updated on 26/Feb/23 Commented by cortano12 last updated on 26/Feb/23 $$\:\left[\:\mathrm{BCDH}\:\right]\:=\:\mathrm{6m}^{\mathrm{2}} \\ $$$$\:\left[\:\mathrm{ABI}\:\right]\:=\:\mathrm{4m}^{\mathrm{2}} \\ $$$$\:\left[\:\mathrm{DGE}\:\right]\:=\mathrm{2m}^{\mathrm{2}} \\ $$$$\:\mathrm{Find}\:\left[\:\mathrm{AIF}\:\right] \\ $$…
Question Number 188094 by sonukgindia last updated on 25/Feb/23 Commented by mr W last updated on 26/Feb/23 $${you}\:{seem}\:{to}\:{ask}\:{something},\:{but} \\ $$$${without}\:{saying}\:{what}\:{you}\:{want}\:{to}\:{ask}. \\ $$ Terms of Service…
Question Number 122456 by ajfour last updated on 17/Nov/20 Commented by ajfour last updated on 17/Nov/20 $${y}=\mathrm{1}+\frac{{c}}{{x}}\:\:\:\:\:\:\:\:\:\left(\mathrm{0}<{c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}\right) \\ $$$${y}={x}^{\mathrm{2}} \\ $$$${both}\:{these}\:{curves}\:{intersect}\:{at} \\ $$$${P},\:{Q},\:{R}\:\:{as}\:{shown};\:\:{find}\:{eq}.\:{of} \\ $$$${circle}\:{through}\:{these}\:{three}\:{points}…
Question Number 56914 by rahul 19 last updated on 26/Mar/19 $${The}\:{shortest}\:{distance}\:{between}\:{the}\:{point} \\ $$$$\left(\frac{\mathrm{3}}{\mathrm{2}},\mathrm{0}\right)\:{and}\:{the}\:{curve}\:{y}=\sqrt{{x}}\:,\left({x}>\mathrm{0}\right)\:{is}\:? \\ $$ Answered by Smail last updated on 26/Mar/19 $${d}=\sqrt{\left({x}_{\mathrm{2}} −{x}_{\mathrm{1}} \right)^{\mathrm{2}}…
Question Number 56878 by ajfour last updated on 25/Mar/19 $$\mathrm{f}\left(\mathrm{x}\right)=\:\mid\mid\mathrm{x}\mid−\mathrm{4}\mid \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=\:\sqrt{\mathrm{36}−\mathrm{x}^{\mathrm{2}} }−\mathrm{3} \\ $$$$\mathrm{Find}\:\mathrm{points}\:\mathrm{of}\:\mathrm{intersection}. \\ $$ Answered by mr W last updated on 25/Mar/19…