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Category: Geometry

Question-66527

Question Number 66527 by mr W last updated on 16/Aug/19 Commented by mr W last updated on 16/Aug/19 $${the}\:{perimeter}\:{of}\:{a}\:{rope}\:{loop}\:{is}\:{L}. \\ $$$${now}\:{it}\:{is}\:{hanged}\:{on}\:{two}\:{pins}\:{A}\:{and}\:{B}. \\ $$$${the}\:{distance}\:{between}\:{the}\:{pins}\:{is}\:{b}.\: \\ $$$${all}\:{contact}\:{is}\:{frictionless}.…

f-x-2-f-x-2-f-1-1-

Question Number 860 by 123456 last updated on 28/Mar/15 $${f}\left({x}^{\mathrm{2}} \right)=\left[{f}\left({x}\right)\right]^{\mathrm{2}} \\ $$$${f}\left(\mathrm{1}\right)=\mathrm{1} \\ $$ Commented by prakash jain last updated on 28/Mar/15 $${f}\left({x}\right)=\mathrm{0}\:\mathrm{or}\:{f}\left({x}\right)=\mathrm{1} \\…

if-the-equations-of-the-sides-of-the-triangle-are-7x-y-10-0-x-2y-5-0-and-x-y-2-0-find-the-orhocentre-of-the-triangle-

Question Number 808 by sai dinesh last updated on 16/Mar/15 $${if}\:{the}\:{equations}\:{of}\:{the}\:{sides}\:{of}\:{the}\:{triangle}\:{are}\:\mathrm{7}{x}+{y}−\mathrm{10}=\mathrm{0},{x}−\mathrm{2}{y}+\mathrm{5}=\mathrm{0}\:{and}\:{x}+{y}+\mathrm{2}=\mathrm{0},\:{find}\:{the}\:{orhocentre}\:{of}\:{the}\:{triangle} \\ $$ Commented by prakash jain last updated on 16/Mar/15 $${if}\:{the}\:{equations}\:{of}\:{the}\:{sides}\:{of}\:{the}\:{triangle}\:{are}\: \\ $$$$\mathrm{7}{x}+{y}−\mathrm{10}=\mathrm{0},{x}−\mathrm{2}{y}+\mathrm{5}=\mathrm{0}\:{and}\:{x}+{y}+\mathrm{2}=\mathrm{0}, \\…

Question-66310

Question Number 66310 by mr W last updated on 12/Aug/19 Commented by mr W last updated on 12/Aug/19 $${all}\:{contact}\:{is}\:{frictionless}. \\ $$$${find}\:{the}\:{minimum}\:{length}\:{of}\:{uniform} \\ $$$${rope}\:{such}\:{that}\:{it}\:{can}\:{stay}\:{in}\:{equilibrium} \\ $$$${as}\:{shown}.…