Question Number 66527 by mr W last updated on 16/Aug/19 Commented by mr W last updated on 16/Aug/19 $${the}\:{perimeter}\:{of}\:{a}\:{rope}\:{loop}\:{is}\:{L}. \\ $$$${now}\:{it}\:{is}\:{hanged}\:{on}\:{two}\:{pins}\:{A}\:{and}\:{B}. \\ $$$${the}\:{distance}\:{between}\:{the}\:{pins}\:{is}\:{b}.\: \\ $$$${all}\:{contact}\:{is}\:{frictionless}.…
Question Number 66522 by mr W last updated on 16/Aug/19 Answered by MJS last updated on 16/Aug/19 $${q}^{\mathrm{2}} +{x}^{\mathrm{2}} =\mathrm{16} \\ $$$$\left({x}−{p}\right)^{\mathrm{2}} +{x}^{\mathrm{2}} =\mathrm{25} \\…
Question Number 66469 by $@ty@m123 last updated on 15/Aug/19 Commented by $@ty@m123 last updated on 15/Aug/19 $${BD}\:{and}\:{CE}\:{are}\:{altitudes}\:{of}\:\bigtriangleup{ABC}. \\ $$$${Prove}\:{that}\:{AG}={AF} \\ $$ Terms of Service Privacy…
Question Number 887 by Karting7442 last updated on 14/Apr/15 $$ \\ $$$$ \\ $$$$\:\:\:\:\frac{−\mathrm{5}+{x}}{\mathrm{22}}=\mathrm{1} \\ $$$${what}\:{is}\:{x}? \\ $$ Answered by 123456 last updated on 14/Apr/15…
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 $${f}\left({x}\right)=\mathrm{0}\:\mathrm{or}\:{f}\left({x}\right)=\mathrm{1} \\…
Question Number 808 by sai dinesh last updated on 16/Mar/15 $${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}\: \\ $$$$\mathrm{7}{x}+{y}−\mathrm{10}=\mathrm{0},{x}−\mathrm{2}{y}+\mathrm{5}=\mathrm{0}\:{and}\:{x}+{y}+\mathrm{2}=\mathrm{0}, \\…
Question Number 66310 by mr W last updated on 12/Aug/19 Commented by mr W last updated on 12/Aug/19 $${all}\:{contact}\:{is}\:{frictionless}. \\ $$$${find}\:{the}\:{minimum}\:{length}\:{of}\:{uniform} \\ $$$${rope}\:{such}\:{that}\:{it}\:{can}\:{stay}\:{in}\:{equilibrium} \\ $$$${as}\:{shown}.…
Question Number 758 by 13/NaSaNa(N)056565 last updated on 08/Mar/15 $$\int{x}\mathrm{tan}^{−\mathrm{1}} {xdx} \\ $$$$ \\ $$ Commented by malwaan last updated on 08/Mar/15 $${integral}\:{by}\:{parts} \\ $$$$\int{udv}={uv}−\int{vdu}\:…
Question Number 131820 by mr W last updated on 09/Feb/21 Commented by liberty last updated on 09/Feb/21 $$\frac{\mathrm{x}}{\mathrm{2}}=\:\frac{\mathrm{3}}{\mathrm{1}}\Rightarrow\mathrm{x}=\mathrm{6} \\ $$$$\mathrm{x}.\mathrm{1}\:=\:\mathrm{2}.\mathrm{3}\:\Rightarrow\mathrm{x}=\mathrm{6} \\ $$$$\frac{\mathrm{3}}{\mathrm{x}}=\frac{\mathrm{1}}{\mathrm{2}}\Rightarrow\mathrm{x}=\mathrm{6} \\ $$ Commented…
Question Number 737 by 123456 last updated on 08/Mar/15 $$\frac{\mathrm{1}}{{T}}\underset{{t}_{\mathrm{1}} } {\overset{{t}_{\mathrm{2}} } {\int}}{V}\mathrm{sin}\:\omega{t}−{V}_{\gamma} \:{dt}=? \\ $$$${t}_{\mathrm{1}} \:{and}\:{t}_{\mathrm{2}} \:{are}\:{solution}\:{to} \\ $$$${V}\mathrm{sin}\:\omega{t}={V}_{\gamma} \\ $$$${V}\geqslant{V}_{\gamma} \\ $$$${V}_{\gamma}…