Question Number 46923 by 786786AM last updated on 02/Nov/18 $${a},\:{b},\:{c}\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}\:\mathrm{or}\:\mathrm{GP}\:\mathrm{or}\:\mathrm{HP}\:\mathrm{according} \\ $$$$\mathrm{as}\:\frac{{a}−{b}}{{b}−{c}}\:\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 02/Nov/18 $$ \\ $$$$\left.\mathrm{1}\right)\:{when}\:{a},{b},{c}\:{are}\:{in}\:{A}.{P} \\…
Question Number 46924 by 786786AM last updated on 02/Nov/18 $$\mathrm{If}\:\:\frac{{a}−{x}}{{px}}\:=\:\frac{{a}−{y}}{{qy}}\:=\:\frac{{a}−{z}}{{rz}}\:\mathrm{and}\:{p},\:{q},\:{r}\:\:\mathrm{are} \\ $$$$\mathrm{in}\:\mathrm{AP},\:\mathrm{then}\:{x},\:{y},\:{z}\:\:\mathrm{will}\:\mathrm{be}\:\mathrm{in} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 02/Nov/18 $$\frac{{a}−{x}}{{px}}=\frac{{a}−{y}}{{qy}}=\frac{{a}−{z}}{{rz}}=\frac{\mathrm{1}}{{k}}\left({say}\right) \\ $$$${px}={k}\left({a}−{x}\right) \\…
Question Number 46922 by 786786AM last updated on 02/Nov/18 $$\mathrm{Thr}\:\mathrm{6th}\:\mathrm{term}\:\mathrm{of}\:\mathrm{an}\:\mathrm{AP}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{2},\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}\:\mathrm{of}\:\mathrm{the}\:\mathrm{AP}. \\ $$$$\mathrm{Which}\:\mathrm{makes}\:\mathrm{the}\:\mathrm{product}\:{a}_{\mathrm{1}} \:{a}_{\mathrm{4}} \:{a}_{\mathrm{5}} \:\mathrm{least} \\ $$$$\mathrm{is}\:\mathrm{given}\:\:\mathrm{by} \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
Question Number 46921 by 786786AM last updated on 02/Nov/18 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{first}\:\mathrm{two}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{an}\:\mathrm{infinite} \\ $$$$\mathrm{GP}\:\mathrm{is}\:\mathrm{1}\:\mathrm{and}\:\mathrm{every}\:\mathrm{term}\:\mathrm{is}\:\mathrm{twice}\:\mathrm{the}\:\mathrm{sum} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{successive}\:\mathrm{terms}.\:\mathrm{Its}\:\mathrm{first}\:\mathrm{term}\:\mathrm{is} \\ $$ Answered by peter frank last updated on 02/Nov/18 $$\mathrm{a}+\mathrm{ar}=\mathrm{1}…..\left(\mathrm{1}\right)…
Question Number 46920 by 786786AM last updated on 02/Nov/18 $$\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…