Menu Close

Category: Geometry

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}.…

Question-131820

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…

1-T-t-1-t-2-Vsin-t-V-dt-t-1-and-t-2-are-solution-to-Vsin-t-V-V-V-V-0-and-t-1-lt-t-2-

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}…

if-f-R-R-is-continuous-and-f-x-y-f-x-y-1-find-f-x-2-proof-or-disproof-that-f-x-1-3-if-f-0-0-proof-or-disproof-that-f-x-x-

Question Number 652 by 123456 last updated on 19/Feb/15 $${if}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:{is}\:{continuous}\:{and} \\ $$$${f}\left({x}+{y}\right)={f}\left({x}\right)+{y} \\ $$$$\mathrm{1}.\:{find}\:{f}\left({x}\right) \\ $$$$\mathrm{2}.\:{proof}\:{or}\:{disproof}\:{that}\:{f}'\left({x}\right)=\mathrm{1} \\ $$$$\mathrm{3}.\:{if}\:{f}\left(\mathrm{0}\right)=\mathrm{0}\:{proof}\:{or}\:{disproof}\:{that}\:{f}\left({x}\right)={x} \\ $$ Answered by prakash jain last…

pi-2-pi-2-sin-x-cos-x-dx-pi-2-pi-2-sin-x-cos-x-cos-2nx-dx-pi-2-pi-2-sin-x-cos-x-sin-2nx-dx-n-N-

Question Number 630 by 123456 last updated on 15/Feb/15 $$\underset{−\frac{\pi}{\mathrm{2}}} {\overset{+\frac{\pi}{\mathrm{2}}} {\int}}\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}}{dx} \\ $$$$\underset{−\frac{\pi}{\mathrm{2}}} {\overset{+\frac{\pi}{\mathrm{2}}} {\int}}\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}}\mathrm{cos}\left(\mathrm{2}{nx}\right){dx} \\ $$$$\underset{−\frac{\pi}{\mathrm{2}}} {\overset{+\frac{\pi}{\mathrm{2}}} {\int}}\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}}\mathrm{sin}\left(\mathrm{2}{nx}\right){dx} \\ $$$${n}\in\mathbb{N}^{\ast} \\ $$ Commented…

Question-66109

Question Number 66109 by Rio Michael last updated on 09/Aug/19 Commented by Rio Michael last updated on 09/Aug/19 $${The}\:{diagram}\:{above}\:{shows}\:{a}\:{uniform}\:{semi}−{circular}\:{lamina}\:{of}\:{radius}\:\mathrm{2}{a} \\ $$$$,{center}\:{O}.\:{The}\:{distance}\:{of}\:{the}\:{centre}\:{of}\:{mass}\:{form}\:{P},\:{vertically}\:{above}\:{O}\:{is} \\ $$$$ \\ $$$${A}\:\:\frac{\mathrm{6}{a}\pi−\mathrm{8}{a}}{\mathrm{3}\pi}…