Category: Geometry

Question Number 4847 by sanusihammed last updated on 17/Mar/16 $$\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6}}}}}$$$$$$$$SOLUTION$$$$$$$$letx=\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6}}}}}$$$$$$$$therefore..$$$$ \…

Question Number 70277 by mr W last updated on 02/Oct/19 Answered by mind is power last updated on 02/Oct/19 $$\frac{a}{sin\left(\theta \right)}=\frac{2a}{Sin(\pi -3\theta )}=\frac{2a}{sin\left(3\theta \right)}$$$$\Rightarrow sin\left(3\theta \right)=2sin\left(\theta \right)$$$${sin}\left(\mathrm{3}\theta\right)=−\mathrm{4}{sin}^{\mathrm{3}} \left(\theta\right)+\mathrm{3}{sin}\left(\theta\right)…

Question Number 70256 by behi83417@gmail.com last updated on 02/Oct/19 Commented by behi83417@gmail.com last updated on 02/Oct/19 $$\mathrm{ABCD},\mathrm{is}\mathrm{a}\mathrm{squre}.$$$$\mathrm{F},\mathrm{is}\mathrm{midpoint}\mathrm{of}\mathrm{AC}.$$$$1.\mathrm{if}:\mathbf{DF}=4,\mathbf{EB}=3,\mathrm{area}\mathrm{of}:\mathbf{ACE}=?$$$$2.\mathrm{if}:\mathbf{AC},\mathrm{be}\mathrm{diagonal},\mathrm{but}\mathrm{AF}\ne \mathrm{FC}\mathrm{and}:$$$$\mathrm{DF}=\mathrm{4},\mathrm{FE}=\mathrm{2},\mathrm{EB}=\mathrm{3},\mathrm{now}\:\mathrm{find}\:\mathrm{area}\:\mathrm{of}:\mathrm{ACE}.…

Question Number 135747 by liberty last updated on 15/Mar/21 $$$$To make the ellipse 4𝑥^2 + 𝑦^2 + 𝑎𝑥 + 𝑏𝑦 + 𝑐 =…

Question Number 135712 by Dwaipayan Shikari last updated on 15/Mar/21 Commented by Dwaipayan Shikari last updated on 15/Mar/21 $$Smallercirclehashalfoftheradiusofthelargercircle.$$$$Provethat,irrespectiveofanypositionocthesmallercircle$$$$thatbluepointwillalwaysstayonthediametreofthat$$$${larger}\:{circle}…