Question Number 74589 by Aditya789 last updated on 27/Nov/19 Answered by MJS last updated on 27/Nov/19 $${a}\left({b}−{c}\right){x}^{\mathrm{2}} +{b}\left({c}−{a}\right){xy}+{c}\left({a}−{b}\right){y}^{\mathrm{2}} =\mathrm{0} \\ $$$${x}^{\mathrm{2}} +\frac{{b}\left({c}−{a}\right){y}}{{a}\left({b}−{c}\right)}{x}+\frac{{c}\left({a}−{b}\right){y}^{\mathrm{2}} }{{a}\left({b}−{c}\right)}=\mathrm{0} \\ $$$${x}={t}−\frac{{b}\left({c}−{a}\right){y}}{\mathrm{2}{a}\left({b}−{c}\right)}…
Question Number 74587 by lalitchand last updated on 27/Nov/19 $$\mathrm{If}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{n}\:\mathrm{arithmetic}\:\mathrm{means}\:\mathrm{between}\: \\ $$$$\mathrm{two}\:\mathrm{number}\:\mathrm{is}\:\mathrm{20}.\mathrm{if}\:\mathrm{last}\:\mathrm{mean}\:\mathrm{is}\:\mathrm{double} \\ $$$$\mathrm{of}\:\mathrm{1st}\:\mathrm{mean}\:\mathrm{and}\:\mathrm{one}\:\mathrm{is}\:\mathrm{three}\:\mathrm{times}\:\mathrm{of} \\ $$$$\mathrm{another}\:\mathrm{number}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{numbers}. \\ $$$$ \\ $$ Terms of Service Privacy Policy…
Question Number 9049 by Rasheed Soomro last updated on 16/Nov/16 $$\mathrm{Prove}\:\mathrm{that}\:\mathrm{every}\:\mathrm{even}\:\mathrm{number}\:\mathrm{can}\:\mathrm{be}\: \\ $$$$\mathrm{expressed}\:\mathrm{as}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{two}\:\mathrm{primes}\:\mathrm{or} \\ $$$$\mathrm{give}\:\mathrm{an}\:\mathrm{counter}\:\mathrm{example}. \\ $$ Commented by FilupSmith last updated on 16/Nov/16 $$\mathrm{2}{n}={p}_{\mathrm{1}}…
Question Number 9048 by tawakalitu last updated on 16/Nov/16 Answered by Rasheed Soomro last updated on 16/Nov/16 $$\left.\mathrm{a}\right)\:\:\mathrm{Straight}\:\mathrm{line}:\:\mathrm{y}=\mathrm{mx}+\mathrm{c} \\ $$$$\:\:\:\:\:\:\:\mathrm{Circle}:\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{2gx}+\mathrm{2fy}+\mathrm{C}_{\mathrm{1}} =\mathrm{0} \\ $$$$\mathrm{For}\:\mathrm{intersection}\:\mathrm{we}\:\mathrm{have}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{above}…
Question Number 74582 by Maclaurin Stickker last updated on 26/Nov/19 $${Find}\:{all}\:{values}\:{of}\:{x}: \\ $$$$\left(\mathrm{2}^{{x}} \right)^{{x}^{\mathrm{2}} −\mathrm{8}} =\mathrm{32} \\ $$ Answered by MJS last updated on 26/Nov/19…
Question Number 74580 by chess1 last updated on 26/Nov/19 Answered by mind is power last updated on 26/Nov/19 $$\sqrt{\mathrm{1}+\mathrm{t}}=\mathrm{1}+\frac{\mathrm{t}}{\mathrm{2}}+\mathrm{o}\left(\mathrm{t}\right)\Rightarrow\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}=\mathrm{1}+\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{2}}+\mathrm{o}\left(\mathrm{x}^{\mathrm{2}} \right) \\ $$$$\sqrt[{\mathrm{3}}]{\left(\mathrm{t}+\mathrm{1}\right)}=\mathrm{1}+\frac{\mathrm{t}}{\mathrm{3}}+\mathrm{o}\left(\mathrm{t}\right)\Rightarrow\sqrt[{\mathrm{3}}]{\mathrm{1}+\mathrm{x}^{\mathrm{2}} }=\mathrm{1}+\frac{\mathrm{x}^{\mathrm{2}}…
Question Number 140113 by EnterUsername last updated on 04/May/21 $$\mathrm{Let}\:{z}_{\mathrm{1}} =\mathrm{1}+{i},\:{z}_{\mathrm{2}} =−\mathrm{1}−{i}\:\mathrm{and}\:{z}_{\mathrm{3}} \:\mathrm{be}\:\mathrm{complex}\:\mathrm{numbers} \\ $$$$\mathrm{such}\:\mathrm{that}\:{z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} \:\mathrm{and}\:{z}_{\mathrm{3}} \:\mathrm{form}\:\mathrm{an}\:\mathrm{equilateral}\:\mathrm{triangle}. \\ $$$$\mathrm{Then}\:{z}_{\mathrm{3}} \:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$$$\left(\mathrm{A}\right)\:\sqrt{\mathrm{3}}\left(\mathrm{1}+{i}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:\sqrt{\mathrm{3}}\left(\mathrm{1}−{i}\right) \\ $$$$\left(\mathrm{C}\right)\:\sqrt{\mathrm{3}}\left({i}−\mathrm{1}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:\sqrt{\mathrm{3}}\left(−\mathrm{1}−{i}\right)…
Question Number 74579 by malikmasood3535@gmail.com last updated on 26/Nov/19 $${find}\:{the}\:{gradient}\:{of}\:{scalar}\:{point}\:{function}\:{being}\:{expressed}\:{in}\:{term}\:{of}\:{scalar}\:{triple}\:{product}\:{as}\:{u}=\left(\bar {{a}},\bar {{b}},\bar {{c}}\right)=\bar {{a}}.\bar {{b}}×\bar {{c}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9041 by tawakalitu last updated on 16/Nov/16 Commented by sou1618 last updated on 16/Nov/16 $$ \\ $$$$ \\ $$$$\begin{pmatrix}{}&{{X}}&{}\\{{A}}&{{B}}&{{C}}\end{pmatrix} \\ $$$${X}=\frac{{A}×{B}×{C}}{\mathrm{10}} \\ $$…
Question Number 140114 by EnterUsername last updated on 04/May/21 $$\mathrm{If}\:\mathrm{cos}\:\alpha+\mathrm{cos}\:\beta+\mathrm{cos}\:\gamma=\mathrm{0}=\mathrm{sin}\:\alpha+\mathrm{sin}\:\beta+\mathrm{sin}\:\gamma,\:\mathrm{then} \\ $$$$\left(\mathrm{A}\right)\:\mathrm{cos}\left(\mathrm{2}\alpha\right)+\mathrm{cos}\left(\mathrm{2}\beta\right)+\mathrm{cos}\left(\mathrm{2}\gamma\right)=\mathrm{0} \\ $$$$\left(\mathrm{B}\right)\:\mathrm{sin}\left(\mathrm{3}\alpha\right)+\mathrm{sin}\left(\mathrm{3}\beta\right)+\mathrm{sin}\left(\mathrm{3}\gamma\right)=\mathrm{3sin}\left(\alpha+\beta+\gamma\right) \\ $$$$\left(\mathrm{C}\right)\:\mathrm{cos}\left(\mathrm{3}\alpha\right)+\mathrm{cos}\left(\mathrm{3}\beta\right)+\mathrm{cos}\left(\mathrm{3}\gamma\right)=\mathrm{3cos}\left(\alpha+\beta+\gamma\right) \\ $$$$\left(\mathrm{D}\right)\:\mathrm{sin}\left(\mathrm{2}\alpha\right)+\mathrm{sin}\left(\mathrm{2}\beta\right)+\mathrm{sin}\left(\mathrm{2}\gamma\right)=\mathrm{0} \\ $$ Terms of Service Privacy Policy…