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a-rectangle-s-a-side-s-terminal-points-coordinate-are-2-1-6-5-and-the-length-of-the-diagonal-is-8-unit-what-are-coordinate-of-terminal-point-of-paralel-side-that-side-

Question Number 121422 by faysal last updated on 08/Nov/20 $${a}\:{rectangle}'{s}\:{a}\:{side}'{s}\:{terminal} \\ $$$${points}\:{coordinate}\:{are}\:\left(\mathrm{2},−\mathrm{1}\right),\:\left(\mathrm{6},\mathrm{5}\right)\:{and}\:{the} \\ $$$${length}\:{of}\:{the}\:{diagonal}\:{is}\:\mathrm{8}\:{unit}. \\ $$$${what}\:{are}\:{coordinate}\:{of}\:{terminal}\:{point} \\ $$$${of}\:{paralel}\:{side}\:{that}\:{side} \\ $$ Commented by mr W last…

a-changeable-straight-line-going-the-point-a-b-creates-a-triangle-with-axes-what-is-the-equation-of-locus-of-centroid-of-the-triangle-

Question Number 121418 by faysal last updated on 08/Nov/20 $${a}\:{changeable}\:{straight}\:{line}\:{going}\:{the}\:{point}\:\left({a},{b}\right) \\ $$$${creates}\:{a}\:{triangle}\:{with}\:{axes}.\:{what}\:{is}\: \\ $$$${the}\:{equation}\:{of}\:{locus}\:{of}\:{centroid}\:{of} \\ $$$${the}\:{triangle} \\ $$ Answered by TANMAY PANACEA last updated on…

Question-186952

Question Number 186952 by Humble last updated on 12/Feb/23 Answered by horsebrand11 last updated on 12/Feb/23 $${let}\:\mathrm{3}{x}+\mathrm{2}{y}+{c}\:=\:\mathrm{0}\:{is}\:{tangent}\:{to} \\ $$$${hypebola}\:.\:{we}\:{have}\:\frac{\mathrm{1}}{\mathrm{12}}{x}−\frac{\mathrm{1}}{\mathrm{9}}{y}.{y}'=\mathrm{0} \\ $$$$\Rightarrow{y}'=\frac{\frac{\mathrm{3}}{\mathrm{36}}{x}}{\frac{\mathrm{4}}{\mathrm{36}}{y}}\:=\:\frac{\mathrm{3}{x}}{\mathrm{4}{y}}\:=\:−\frac{\mathrm{3}}{\mathrm{2}} \\ $$$$\Rightarrow{x}=−\mathrm{2}{y}\:{and}\:\frac{\mathrm{4}{y}^{\mathrm{2}} }{\mathrm{24}}−\frac{{y}^{\mathrm{2}} }{\mathrm{18}}\:=\mathrm{1}…

a-square-s-one-diagonal-s-terminal-points-are-5-0-9-4-what-are-the-coordinate-of-other-diagonal-s-terminal-points-

Question Number 121393 by faysal last updated on 07/Nov/20 $${a}\:{square}'{s}\:{one}\:{diagonal}'{s}\:{terminal}\:{points}\:{are} \\ $$$$\left(\mathrm{5},\mathrm{0}\right),\:\left(\mathrm{9},\mathrm{4}\right)\:{what}\:{are}\:{the}\:{coordinate}\:{of} \\ $$$${other}\:{diagonal}'{s}\:{terminal}\:{points} \\ $$ Answered by TANMAY PANACEA last updated on 07/Nov/20 $${Disgonal}\:{eqn}\:\:\frac{{y}−\mathrm{0}}{\mathrm{0}−\mathrm{4}}=\frac{{x}−\mathrm{5}}{\mathrm{5}−\mathrm{9}}\rightarrow{x}−{y}−\mathrm{5}=\mathrm{0}…