Question Number 187765 by Tawa11 last updated on 21/Feb/23 Answered by cortano12 last updated on 21/Feb/23 $$\left(\mathrm{1i}\right)\Rightarrow\left(\mathrm{x}−\mathrm{1}\right)\left(\mathrm{x}−\mathrm{3}\right)+\left(\mathrm{y}−\mathrm{3}\right)\left(\mathrm{y}−\mathrm{7}\right)=\mathrm{0} \\ $$$$\Rightarrow\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} −\mathrm{4x}−\mathrm{10y}+\mathrm{24}=\mathrm{0} \\ $$ Answered by…
Question Number 187762 by normans last updated on 21/Feb/23 $$ \\ $$$$\:\:\:\:\:\:\boldsymbol{{if}}\:\boldsymbol{{point}}\:\boldsymbol{{P}}\:\:\boldsymbol{{is}}\:\boldsymbol{{any}}\:\boldsymbol{{point}}\:\boldsymbol{{inside}}\:\:\: \\ $$$$\:\:\:\:\:\:\:\bigtriangleup\boldsymbol{{ABC}}\:\:\boldsymbol{{with}}\:\boldsymbol{{side}}\:\boldsymbol{{lenghts}}\:\boldsymbol{{a}},\boldsymbol{{b}}\:\boldsymbol{{and}}\:\boldsymbol{{c}}.\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\boldsymbol{{prove}}\:\boldsymbol{{that}}; \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\boldsymbol{{PA}}}{\boldsymbol{{a}}}\:+\:\frac{\boldsymbol{{PB}}}{\boldsymbol{{b}}}\:+\:\frac{\boldsymbol{{PC}}}{\boldsymbol{{c}}}\:\geqslant\:\sqrt{\mathrm{3}\:} \\ $$$$ \\ $$ Terms of Service…
Question Number 187752 by Noorzai last updated on 21/Feb/23 Commented by Noorzai last updated on 21/Feb/23 $$ \\ $$ Commented by Noorzai last updated on…
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Question Number 56639 by ajfour last updated on 20/Mar/19 Commented by ajfour last updated on 20/Mar/19 $${Outer}\:{circle}\:{has}\:{radius}\:{R}. \\ $$$${If}\:{a}\:{parabola}\:{is}\:{tangent}\:{to} \\ $$$${this}\:{circle}\:{at}\:{its}\:{vertex},\:{and} \\ $$$${maximum}\:{radius}\:{a}\:{is}\:{equal} \\ $$$${to}\:{b},\:{find}\:{a}\:{and}\:{b}\:{in}\:{terms}\:{of}\:{R}.…
Question Number 187691 by normans last updated on 21/Feb/23 $$\: \\ $$$$\:\:\:\boldsymbol{{Misalkan}}\:\boldsymbol{{P}}\:\boldsymbol{{sebarang}}\:\boldsymbol{{titik}}\:\boldsymbol{{didalam}}\:\boldsymbol{\Delta{ABC}}\:\:\boldsymbol{{sehingga}}\:\boldsymbol{{PD}},\:\boldsymbol{{PE}}\:,\:\boldsymbol{{dan}}\:\boldsymbol{{PF}}\:\: \\ $$$$\:\:\:\boldsymbol{{masing}}\:\boldsymbol{{masing}}\:\boldsymbol{{tegak}}\:\boldsymbol{{lurus}}\:\:\boldsymbol{{dengan}}\:\boldsymbol{{sisi}}\:\boldsymbol{{BC}},\boldsymbol{{CA}}\:\boldsymbol{{dan}}\:\boldsymbol{{AB}} \\ $$$$\:\:\:\boldsymbol{{Jika}}\:\boldsymbol{{panjang}}\:\boldsymbol{{sisi}}\:\boldsymbol{{BC}},\boldsymbol{{CA}}\:\boldsymbol{{dan}}\:\boldsymbol{{AB}}\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\boldsymbol{{masing}}\:\boldsymbol{{masing}}\:\boldsymbol{{dinotasikan}}\:\boldsymbol{{dengan}}\:\boldsymbol{{a}},\boldsymbol{{b}}\:\boldsymbol{{dan}}\:\boldsymbol{{c}}. \\ $$$$\:\:\:\boldsymbol{{bila}}\:\boldsymbol{{x}},\boldsymbol{{y}}\:\boldsymbol{{dan}}\:\boldsymbol{{z}}\:\boldsymbol{{adalah}}\:\boldsymbol{{sebarang}}\:\boldsymbol{{bilangan}}\:\boldsymbol{{real}}\:\boldsymbol{{yang}}\:\boldsymbol{{memenuhi}}\:\boldsymbol{{xy}}\:+\:\boldsymbol{{yz}}\:+\boldsymbol{{xz}}\:\geqslant\:\mathrm{0}\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{{Tunjukkan}}\:\boldsymbol{{bahwa}}; \\ $$$$\:\:\:\:\left(\boldsymbol{{y}}\:+\:\boldsymbol{{z}}\right)\:\frac{\boldsymbol{{PA}}}{\boldsymbol{{a}}}\:+\:\left(\boldsymbol{{z}}+\boldsymbol{{x}}\right)\frac{\boldsymbol{{PB}}}{\boldsymbol{{b}}}\:\:+\:\left(\boldsymbol{{x}}\:+\:\boldsymbol{{y}}\right)\:\frac{\boldsymbol{{PC}}}{\boldsymbol{{c}}}\:\:\geqslant\:\mathrm{2}\sqrt{\boldsymbol{{xy}}\:+\:\boldsymbol{{yz}}\:+\boldsymbol{{zx}}}\:\:\: \\…
Question Number 187608 by ajfour last updated on 19/Feb/23 Answered by a.lgnaoui last updated on 19/Feb/23 $$\mathrm{tan}\:\alpha=\frac{\mathrm{X}}{{c}}=\frac{\mathrm{X}+\mathrm{1}}{\mathrm{2X}+{c}}\Rightarrow \\ $$$$\left(\mathrm{2X}+{c}\right)\mathrm{X}={c}\left(\mathrm{X}+\mathrm{1}\right) \\ $$$$\mathrm{2X}^{\mathrm{2}} +{c}\mathrm{X}={c}\mathrm{X}+{c} \\ $$$$\:\:\:\:\mathrm{2X}^{\mathrm{2}} ={c}…
Question Number 122056 by I want to learn more last updated on 13/Nov/20 Commented by 676597498 last updated on 13/Nov/20 $$\mathrm{your}\:\mathrm{posting}\:\mathrm{iymc}\:\mathrm{questions} \\ $$$$\mathrm{you}\:\mathrm{will}\:\mathrm{be}\:\mathrm{disqualified} \\ $$$$\mathrm{i}\:\mathrm{have}\:\mathrm{no}\:\mathrm{option}\:\mathrm{but}\:\mathrm{to}\:\mathrm{report}…
Question Number 122055 by I want to learn more last updated on 13/Nov/20 Answered by mr W last updated on 13/Nov/20 $${AB}=\frac{\mathrm{2}×\mathrm{10}\pi}{\mathrm{4}}=\mathrm{5}\pi \\ $$$${PR}=\mathrm{10} \\…
Question Number 187585 by Mingma last updated on 19/Feb/23 Commented by Mingma last updated on 19/Feb/23 Blue area=? Answered by HeferH last updated on 20/Feb/23 $${let}\:{x}\:{be}\:{the}\:{side}\:{of}\:{the}\:{square}…