Question Number 160263 by alcohol last updated on 26/Nov/21 $$\underset{{r}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{{sin}\left({r}\alpha\right)}{{r}!} \\ $$ Commented by CAIMAN last updated on 27/Nov/21 alpha€C non? Answered by mathmax…
Question Number 29134 by Tinkutara last updated on 04/Feb/18 Commented by ajfour last updated on 04/Feb/18 Commented by ajfour last updated on 04/Feb/18 $${let}\:{PQ}={r}_{\mathrm{1}} \:\:,\:{PS}={r}_{\mathrm{2}}…
Question Number 29007 by ajfour last updated on 03/Feb/18 Commented by ajfour last updated on 03/Feb/18 $${Q}.\mathrm{28960}\:\:\:\left({explanation}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 28960 by Tinkutara last updated on 02/Feb/18 Commented by Tinkutara last updated on 02/Feb/18 Identify if the Statement 2 is true or false and give reasons. Answered by ajfour last updated on 02/Feb/18 $${If}\:{three}\:{lines}\:{be}\:{equally}\:{inclined},…
Question Number 159958 by mr W last updated on 22/Nov/21 $${find}\:{the}\:{area}\:{and}\:{perimeter}\:{of} \\ $$$$\left(\frac{\boldsymbol{{x}}}{\boldsymbol{{a}}}\right)^{\frac{\mathrm{2}}{\mathrm{3}}} +\left(\frac{\boldsymbol{{y}}}{\boldsymbol{{b}}}\right)^{\frac{\mathrm{2}}{\mathrm{3}}} =\mathrm{1} \\ $$ Commented by MJS_new last updated on 23/Nov/21 $${y}=\pm\frac{{b}}{{a}}\left({a}^{\mathrm{2}/\mathrm{3}}…
Question Number 159755 by puissant last updated on 20/Nov/21 Commented by puissant last updated on 20/Nov/21 $${Show}\:{that}\:\frac{{X}}{{Y}}\:=\:\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}} \\ $$ Answered by mr W last updated…
Question Number 28565 by ajfour last updated on 27/Jan/18 Answered by ajfour last updated on 27/Jan/18 $${eq}.\:{of}\:{tangents}\:{through}\:{P}\left({h},{k}\right) \\ $$$$\:\:\:{y}−{k}\:=\:{m}\left({x}−{h}\right) \\ $$$${applying}\:{condition}\:{for}\:{tangency}: \\ $$$$\left({k}−{mh}\right)^{\mathrm{2}} ={a}^{\mathrm{2}} {m}^{\mathrm{2}}…
Question Number 28512 by ajfour last updated on 26/Jan/18 Commented by ajfour last updated on 26/Jan/18 $${If}\:{eq}.\:{of}\:{line}\:{AB}\:{is}\:\boldsymbol{{y}}=\boldsymbol{{mx}}+\boldsymbol{{c}} \\ $$$${and}\:{that}\:{of}\:{ellipse}\:{is}\:\:\frac{\boldsymbol{{x}}^{\mathrm{2}} }{\boldsymbol{{a}}^{\mathrm{2}} }+\frac{\boldsymbol{{y}}^{\mathrm{2}} }{\boldsymbol{{b}}^{\mathrm{2}} }=\mathrm{1}\:, \\ $$$${find}\:{eq}.\:{of}\:{circle}\:{with}\:{AB}\:{as}…
Question Number 28504 by rish@bh last updated on 26/Jan/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{direction}\:\mathrm{cosines}\:\mathrm{of}\:\mathrm{two} \\ $$$$\mathrm{lines}\:\mathrm{which}\:\mathrm{are}\:\mathrm{connected}\:\mathrm{by}\:\mathrm{relation} \\ $$$${l}+{m}+{n}=\mathrm{0} \\ $$$${mn}−\mathrm{2}{nl}−\mathrm{2}{lm}=\mathrm{0} \\ $$$$ \\ $$$$\boldsymbol{\mathrm{my}}\:\boldsymbol{\mathrm{solution}} \\ $$$${l}=−\left({m}+{n}\right) \\ $$$${mn}+\mathrm{2}{n}\left({m}+{n}\right)+\mathrm{2}\left({n}+{m}\right){n}=\mathrm{0} \\…
Question Number 28461 by Tinkutara last updated on 26/Jan/18 Commented by Tinkutara last updated on 26/Jan/18 Commented by ajfour last updated on 26/Jan/18 $${if}\:{O}\:{is}\:{the}\:{origin},\:{locus}\:{is} \\…