Category: Geometry

Question Number 154020 by mnjuly1970 last updated on 13/Sep/21 Commented by mr W last updated on 13/Sep/21 $$ithinkthereisnotenoughinfo.$$ Commented by mr W last…

Question Number 88479 by Ar Brandon last updated on 10/Apr/20 $$Considerthetransformation\mathit{f}oftheplanewithallpoints$$$$\mathit{M}wityaffix\mathit{z}mappedtothepoint\mathit{M}{}^{\prime }withaffix\mathit{z}{}^{\prime }$$$$suchthat\mathit{z}{}^{\prime }=-(\sqrt{3}+i)z-1+i(1+\sqrt{3})$$$$1)Given{\mathit{M}}_{0}thepoint{\mathit{z}}_0=\frac{\sqrt{3}}{4}+\frac{3}{4}i$$$$calculate{\mathit{A}\mathit{M}}_{0}anddeducetheangleinradians$$$$\left({Taking}\:\boldsymbol{{A}}\:{as}\:{the}\:{center}\:{of}\:{the}\:{transformation}\right) \…

Question Number 22896 by jazary last updated on 23/Oct/17 $$howcandemonstred$$$${17}^{4n+1}+3\times 9^{2n+1}\equiv 0\left[11\right]$$ Commented by Rasheed.Sindhi last updated on 24/Oct/17 $$\mathrm{For}\:\mathrm{n}=\mathrm{1} \…

Question Number 153901 by mr W last updated on 11/Sep/21 Commented by mr W last updated on 12/Sep/21 $$1)find{\left(ab\right)}_{max}=?$$$$\left.\mathrm{2}\right)\:{prove}\:{that}\:{S}_{\mathrm{1}} ={S}_{\mathrm{2}} . \…

Question Number 22787 by vajpaithegrate@gmail.com last updated on 22/Oct/17 $${\sin }^{-1}\left(\sin 10\right)=10\mathrm{or}3\pi -10$$$$\mathrm{Ans}\mathrm{is}3\pi -10\mathrm{How}$$ Commented by mrW1 last updated on 22/Oct/17 $$\mathrm{by}\:\mathrm{definition}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:\mathrm{sin}^{−\mathrm{1}} \:\left(\mathrm{x}\right)\:\mathrm{is}\:\left[−\frac{\pi}{\mathrm{2}},\:+\frac{\pi}{\mathrm{2}}\right] \…