Question Number 46920 by 786786AM last updated on 02/Nov/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP},\:\mathrm{and} \\ $$$$\mathrm{the}\:\mathrm{greatest}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{is} \\ $$$$\mathrm{double}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{angle},\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 46918 by 786786AM last updated on 02/Nov/18 $$\mathrm{Let}\:{S}_{{n}} \:\mathrm{denote}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{first}\:{n}\:\mathrm{terms}\:\mathrm{of} \\ $$$$\mathrm{an}\:\mathrm{AP}.\:\mathrm{If}\:\:\:{S}_{\mathrm{2}{n}} =\:\mathrm{3}\:{S}_{{n}} \:,\:\mathrm{then}\:\mathrm{the}\:\mathrm{ratio} \\ $$$$\frac{{S}_{\mathrm{3}{n}} }{{S}_{{n}} }\:\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
Question Number 46891 by shivshant0409 last updated on 02/Nov/18 $$\mathrm{X}\:\mathrm{can}\:\mathrm{finish}\:\mathrm{a}\:\mathrm{work}\:\mathrm{in}\:\mathrm{15}\:\mathrm{days}\:\mathrm{at}\:\mathrm{8hrs}. \\ $$$$\mathrm{a}\:\mathrm{day}.\:\mathrm{Y}\:\mathrm{can}\:\mathrm{finish}\:\mathrm{it}\:\mathrm{in}\:\mathrm{6}\frac{\mathrm{2}}{\mathrm{3}}\:\mathrm{days}\:\mathrm{at} \\ $$$$\mathrm{9}\:\mathrm{hrs}.\:\mathrm{a}\:\mathrm{day}.\:\mathrm{Find}\:\mathrm{in}\:\mathrm{how}\:\mathrm{many}\:\mathrm{days} \\ $$$$\mathrm{X}\:\mathrm{and}\:\mathrm{Y}\:\mathrm{can}\:\mathrm{finish}\:\mathrm{it}\:\mathrm{working}\:\mathrm{together}\: \\ $$$$\mathrm{10}\:\mathrm{hrs}.\:\mathrm{a}\:\mathrm{day}? \\ $$ Answered by MJS last updated…
Question Number 46483 by peter frank last updated on 27/Oct/18 $$\mathrm{If}\:\:\mathrm{tan}^{\mathrm{2}} \alpha\:\mathrm{tan}^{\mathrm{2}} \beta+\mathrm{tan}^{\mathrm{2}} \beta\:\mathrm{tan}^{\mathrm{2}} \gamma+\mathrm{tan}^{\mathrm{2}} \gamma\:\mathrm{tan}^{\mathrm{2}} \alpha \\ $$$$+\mathrm{2tan}^{\mathrm{2}} \alpha\:\mathrm{tan}^{\mathrm{2}} \beta\:\mathrm{tan}^{\mathrm{2}} \gamma=\mathrm{1},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:\mathrm{sin}^{\mathrm{2}} \alpha+\mathrm{sin}^{\mathrm{2}}…
Question Number 45844 by ahmadpat222@gmail.com last updated on 17/Oct/18 $$\mathrm{If}\:\:{y}=\frac{\mathrm{sec}^{\mathrm{2}} \theta−\mathrm{tan}\:\theta}{\mathrm{sec}^{\mathrm{2}} \theta+\mathrm{tan}\:\theta}\:,\:\mathrm{then} \\ $$ Commented by MJS last updated on 17/Oct/18 $$\mathrm{again},\:\mathrm{what}'\mathrm{s}\:\mathrm{the}\:\mathrm{question}? \\ $$$${y}=\frac{\mathrm{sec}^{\mathrm{2}} \:\theta\:−\mathrm{tan}\:\theta}{\mathrm{sec}^{\mathrm{2}}…
Question Number 45830 by jashim last updated on 17/Oct/18 $$\mathrm{Given}\:{A}=\:\mathrm{sin}^{\mathrm{2}} \theta\:+\:\mathrm{cos}^{\mathrm{4}} \theta,\:\mathrm{then}\:\mathrm{for}\:\mathrm{all} \\ $$$$\mathrm{real}\:\theta \\ $$ Commented by maxmathsup by imad last updated on 17/Oct/18…
Question Number 45829 by jashim last updated on 17/Oct/18 $$\mathrm{Given}\:{A}=\:\mathrm{sin}^{\mathrm{2}} \theta\:+\:\mathrm{cos}^{\mathrm{4}} \theta,\:\mathrm{then}\:\mathrm{for}\:\mathrm{all} \\ $$$$\mathrm{real}\:\theta \\ $$ Commented by MJS last updated on 17/Oct/18 $$\mathrm{this}\:\mathrm{isn}'\mathrm{t}\:\mathrm{a}\:\mathrm{clear}\:\mathrm{question}. \\…
Question Number 111001 by ZiYangLee last updated on 01/Sep/20 $$\mathrm{Two}\:\mathrm{numbers}\:{a}\:\mathrm{and}\:{b}\:\mathrm{are}\:\mathrm{chosen}\:\mathrm{at} \\ $$$$\mathrm{random}\:\mathrm{from}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{first}\:\mathrm{30}\:\mathrm{natural} \\ $$$$\mathrm{numbers}.\:\mathrm{The}\:\mathrm{probability}\:\mathrm{that}\:{a}^{\mathrm{2}} −{b}^{\mathrm{2}} \\ $$$$\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{3}\:\mathrm{is} \\ $$ Commented by bemath last updated on…
Question Number 44612 by rahul 19 last updated on 02/Oct/18 $${Prove}\:{that}\:\mathrm{One}\:\mathrm{factor}\:\mathrm{of}\begin{vmatrix}{{a}^{\mathrm{2}} +{x}}&{\:\:{ab}}&{\:\:{ac}}\\{\:\:{ab}}&{{b}^{\mathrm{2}} +{x}}&{\:\:{cb}}\\{\:\:{ca}}&{\:\:{cb}}&{{c}^{\mathrm{2}} +{x}}\end{vmatrix}\:\mathrm{is}\:{x}^{\mathrm{2}} . \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 02/Oct/18 Commented…
Question Number 44541 by Yadavsantosh37941@gmail.com last updated on 01/Oct/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\:\mathrm{the} \\ $$$$\mathrm{polynomial}\:{p}\left({y}\right)={y}^{\mathrm{4}} −\mathrm{3}{y}^{\mathrm{2}} +\mathrm{2}{y}+\mathrm{1}\:\mathrm{is} \\ $$$$\mathrm{divided}\:\mathrm{by}\:{y}−\mathrm{1}. \\ $$ Commented by $@ty@m last updated on 01/Oct/18…