Question Number 129436 by mr W last updated on 07/Feb/21 Commented by mr W last updated on 07/Feb/21 $${see}\:{Q}\mathrm{129244} \\ $$ Commented by ajfour last…
Question Number 129404 by bemath last updated on 15/Jan/21 $$\:\frac{\mathrm{1}}{\mathrm{1}−\mathrm{cos}\:\theta−{i}\:\mathrm{sin}\:\theta}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\:+\frac{{i}}{\mathrm{2}}.\mathrm{cot}\:\left(\frac{\theta}{\mathrm{2}}\right) \\ $$$$\mathrm{prove}. \\ $$ Answered by MJS_new last updated on 15/Jan/21 $$\theta=\mathrm{2}\alpha \\ $$$$\left(\mathrm{1}−\mathrm{cos}\:\mathrm{2}\alpha\:−\mathrm{i}\:\mathrm{sin}\:\mathrm{2}\alpha\right)^{−\mathrm{1}} =…
Question Number 129243 by Engr_Jidda last updated on 14/Jan/21 $$ \\ $$ Answered by bemath last updated on 14/Jan/21 $$\:\:\:\:\:\:\: \\ $$ Commented by Engr_Jidda…
Question Number 63618 by kaivan.ahmadi last updated on 06/Jul/19 Commented by kaivan.ahmadi last updated on 06/Jul/19 $${i}\:{dont}\:{think}\: \\ $$$${if}\:{F}'{P}−{FP}=\mathrm{0}<{a}\:{then}\:{P}\:{is}\:{not}\:{inside} \\ $$ Commented by kaivan.ahmadi last…
Question Number 63336 by ajfour last updated on 02/Jul/19 Commented by ajfour last updated on 02/Jul/19 $${Find}\:{the}\:{equation}\:{of}\:{the}\:{parabola} \\ $$$${in}\:{the}\:{form}:\:\:\:{y}={Ax}^{\mathrm{2}} +{C}\:. \\ $$ Answered by mr…
Question Number 63256 by ajfour last updated on 01/Jul/19 Commented by ajfour last updated on 01/Jul/19 $${Find}\:{r}={OB},\:{such}\:{that}\:\bigtriangleup{ABC} \\ $$$${has}\:{maximum}\:{area}. \\ $$ Commented by ajfour last…
Question Number 63218 by ajfour last updated on 30/Jun/19 $${Q}.\mathrm{63108}\:\:\:\left({A}\:{check}\right) \\ $$$${eq}.\:{of}\:{ellipse} \\ $$$$\frac{{x}^{\mathrm{2}} }{\mathrm{4}}+{y}^{\mathrm{2}} =\mathrm{1} \\ $$$${Inscribed}\:{equilateral}\:\bigtriangleup{ABC} \\ $$$${of}\:{side}\:\boldsymbol{{s}}=\frac{\mathrm{16}\sqrt{\mathrm{6}}}{\:\sqrt{\mathrm{365}}} \\ $$$${Do}\:{these}\:{points}\:{satisfy}\:{for} \\ $$$${A},\:{B},\:{C}\:? \\…
Question Number 63178 by ajfour last updated on 30/Jun/19 Commented by Prithwish sen last updated on 30/Jun/19 $$\mathrm{Sir},\:\mathrm{whether}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\left[\left(\frac{\mathrm{a}+\mathrm{b}}{\mathrm{2}}\right),\left(\frac{\mathrm{a}+\mathrm{b}}{\mathrm{2}}\right)^{\mathrm{2}} \right]\:\mathrm{or}\:\mathrm{not}\:? \\ $$ Answered by mr W…
Question Number 128611 by malwan last updated on 08/Jan/21 $${write}\:{the}\:{equation}\:{of}\:{the}\: \\ $$$${circle}\:{which}\:{containing}\: \\ $$$${the}\:{points}\:\left(\mathrm{4},−\mathrm{3}\right),\left(\mathrm{1},−\mathrm{2}\right) \\ $$$${and}\:{center}\:{on}\:{line} \\ $$$$\mathrm{3}{x}\:+\:\mathrm{4}{y}\:=\mathrm{7} \\ $$ Answered by mr W last…
Question Number 62970 by ajfour last updated on 27/Jun/19 Commented by ajfour last updated on 28/Jun/19 $${Hope}\:{its}\:\:{correct}\:{and}\:{unique}.. \\ $$ Answered by ajfour last updated on…