Question Number 90252 by ajfour last updated on 22/Apr/20 Commented by ajfour last updated on 22/Apr/20 $${If}\:{both}\:{ellipses}\:{have}\:{the}\:{same} \\ $$$${shape},\:{find},\:{b}/{a}\:.{Also}\:{find} \\ $$$${circumradius}\:{in}\:{terms}\:{of}\:{a}. \\ $$ Answered by…
Question Number 155735 by BHOOPENDRA last updated on 04/Oct/21 Answered by ajfour last updated on 04/Oct/21 Commented by ajfour last updated on 04/Oct/21 $${x}^{\mathrm{2}} +\left({y}−\frac{\mathrm{1}}{\mathrm{2}}\right)^{\mathrm{2}}…
Question Number 155720 by ajfour last updated on 03/Oct/21 Commented by ajfour last updated on 03/Oct/21 $${If}\:{the}\:{polynomial}\:{curve}\:{is} \\ $$$$\:\:{y}={x}\left({x}^{\mathrm{2}} −{p}^{\mathrm{2}} \right)\:,\:{find}\:{r}\left({p}\right). \\ $$ Answered by…
Question Number 24555 by ajfour last updated on 20/Nov/17 Commented by ajfour last updated on 20/Nov/17 $${Find}\:{the}\:{maximum}\:{radius}\:{of} \\ $$$${a}\:{circle}\:{such}\:{that}\:{it}\:{touches}\:{the} \\ $$$${parabola}\:{y}={Ax}^{\mathrm{2}} \:{at}\:{its}\:{vertex}, \\ $$$${and}\:{lies}\:{above}\:{it}\:{and}\:{cuts}\:{it} \\…
Question Number 24379 by j.masanja06@gmail.com last updated on 16/Nov/17 Answered by mrW1 last updated on 17/Nov/17 $${x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{8}{y}+\mathrm{20}=\mathrm{0} \\ $$$$\left({x}−\mathrm{2}\right)^{\mathrm{2}} −\mathrm{4}+\left({y}+\mathrm{4}\right)^{\mathrm{2}} −\mathrm{16}+\mathrm{20}=\mathrm{0} \\ $$$$\left({x}−\mathrm{2}\right)^{\mathrm{2}}…
Question Number 24362 by gopikrishnan005@gmail.com last updated on 16/Nov/17 $${if}\:{the}\:{points}\:{P},{Q}\left({x},\mathrm{7}\right),{R},{S}\left(\mathrm{6},{y}\right)\:{in}\:{this}\:{order}\:{divide}\:{the}\:{line}\:{segment}\:{joining}\:{A}\left(\mathrm{2},{p}\right)\:{and}\:{B}\left(\mathrm{7},\mathrm{10}\right)\:{in}\:\mathrm{5}\:{equal}\:{parts}\:{find}\:{x},{y},\:{and}\:{p}. \\ $$ Commented by gopikrishnan005@gmail.com last updated on 17/Nov/17 $${pls}\:{help} \\ $$ Terms of Service…
Question Number 24347 by math solver last updated on 16/Nov/17 Commented by math solver last updated on 16/Nov/17 $$\mathrm{it}\:\mathrm{have}\:\:\mathrm{more}\:\mathrm{than}\:\mathrm{1}\:\mathrm{answer}. \\ $$ Commented by math solver…
Question Number 24181 by gopikrishnan005@gmail.com last updated on 14/Nov/17 $${if}\:{the}\:{points}\:{C}\left(−\mathrm{1},\mathrm{2}\right)\:{divides}\:{internally}\:{the}\:{line}\:{segment}\:{joining}\:{the}\:{points}\:{A}\left(\mathrm{2},\mathrm{5}\right)\:{and}\:{B}\left({x},{y}\right)\:{in}\:{the}\:{ratio}\:\mathrm{3}:\mathrm{4}\:{find}\:{the}\:{value}\:{of}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \\ $$ Answered by mrW1 last updated on 14/Nov/17 $$\frac{−\mathrm{1}−\mathrm{2}}{{x}−\mathrm{2}}=\frac{\mathrm{3}}{\mathrm{3}+\mathrm{4}}=\frac{\mathrm{3}}{\mathrm{7}} \\ $$$$\Rightarrow\mathrm{3}\left({x}−\mathrm{2}\right)=\mathrm{7}\left(−\mathrm{1}−\mathrm{2}\right) \\ $$$$\Rightarrow{x}=−\mathrm{5}…
Question Number 24179 by gopikrishnan005@gmail.com last updated on 14/Nov/17 $${the}\:{line}\:{segment}\:{joining}\:{the}\:{points}\:\left(\mathrm{3},−\mathrm{4}\right)\:{and}\:\left(\mathrm{1},\mathrm{2}\right)\:{is}\:{trisected}\:{at}\:{the}\:{points}\:{P}\:{and}\:{Q}\:{if}\:{the}\:{coordinates}\:{of}\:{P}\:{and}\:{Q}\:{are}\:\left({p},−\mathrm{2}\right)\:{and}\:\left(\mathrm{5}/\mathrm{3},{q}\right)\:{respectively}\:{find}\:{the}\:{values}\:{of}\:{p}\:{and}\:{q}. \\ $$ Answered by mrW1 last updated on 14/Nov/17 $$\frac{{x}_{\mathrm{1}} −\mathrm{3}}{\mathrm{1}−\mathrm{3}}=\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\Rightarrow{x}_{\mathrm{1}} =\mathrm{3}−\frac{\mathrm{2}}{\mathrm{3}}=\frac{\mathrm{7}}{\mathrm{3}} \\…
Question Number 24100 by tawa tawa last updated on 12/Nov/17 $$\mathrm{The}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{point}\:\:\mathrm{P}\left(\mathrm{lat}\:\mathrm{65}°\mathrm{S},\:\:\mathrm{long}\:\mathrm{25}°\mathrm{E}\right)\:\mathrm{and}\:\mathrm{Q}\left(\mathrm{lat}\:\mathrm{65}°\mathrm{S},\:\mathrm{long}\:\mathrm{X}\right) \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{surface}\:\mathrm{along}\:\mathrm{the}\:\mathrm{parallel}\:\mathrm{of}\:\mathrm{latitute}\:\mathrm{is}\:\:\mathrm{2502}.\mathrm{5}\:\mathrm{km}.\:\mathrm{If}\:\:\pi\:=\:\frac{\mathrm{22}}{\mathrm{2}} \\ $$$$\mathrm{and}\:\mathrm{earth}\:\mathrm{radius}\:\mathrm{is}\:\:\mathrm{6370}\:\mathrm{km},\:\mathrm{find}\:\mathrm{the}\:\mathrm{two}\:\mathrm{possible}\:\mathrm{values}\:\mathrm{of}\:\mathrm{x}. \\ $$ Commented by tawa tawa last updated on 12/Nov/17…