Question Number 76862 by vishalbhardwaj last updated on 31/Dec/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{parabola}\: \\ $$$$\mathrm{whose}\:\mathrm{focus}\:\left(−\mathrm{1},−\mathrm{2}\right)\:\mathrm{and}\:\mathrm{directrix} \\ $$$$\mathrm{x}−\mathrm{2y}+\mathrm{3}=\mathrm{0}\:?? \\ $$ Answered by mr W last updated on 31/Dec/19 $${point}\:{P}\left({x},{y}\right)\:{on}\:{parabola}…
Question Number 76860 by vishalbhardwaj last updated on 31/Dec/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{having} \\ $$$$\left(\mathrm{2},−\mathrm{2}\right)\:\mathrm{as}\:\mathrm{its}\:\mathrm{centre}\:\mathrm{and}\:\mathrm{passing} \\ $$$$\mathrm{through}\:\mathrm{3x}+\mathrm{y}=\mathrm{14},\:\mathrm{2x}+\mathrm{5y}=\mathrm{18}\:?? \\ $$ Answered by john santu last updated on 31/Dec/19 $${r}\:=\:\sqrt{\:\left(\mathrm{4}−\mathrm{2}\right)^{\mathrm{2}}…
Question Number 142388 by mathocean1 last updated on 30/May/21 $$\mathrm{n}\:\in\:\mathbb{N},\:\mathrm{b},\:\mathrm{a}\:\in\:\mathbb{N}\:;\:\mathrm{a}\neq\mathrm{0}. \\ $$$$\mathrm{In}\:\mathrm{base}\:\mathrm{10};\:\mathrm{n}=\overline {\mathrm{aabb}}\: \\ $$$$\mathrm{1}.\:\mathrm{show}\:\mathrm{that}\:\mathrm{n}\:\mathrm{is}\:\mathrm{not}\:\mathrm{prime}. \\ $$$$\mathrm{2}.\:\mathrm{Give}\:\mathrm{conditions}\:\mathrm{on}\:\mathrm{b}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{n}\:\mathrm{is}\:\mathrm{perfect}\:\mathrm{square}. \\ $$$$\mathrm{3}.\:\mathrm{Determinate}\:\mathrm{n}\:\mathrm{such}\:\mathrm{that}\:\mathrm{n}\:\mathrm{is}\:\mathrm{a}\: \\ $$$$\mathrm{perfect}\:\mathrm{square}. \\ $$…
Question Number 11309 by FilupS last updated on 20/Mar/17 $${ax}^{\mathrm{2}} +{by}^{\mathrm{2}} +{cz}^{\mathrm{2}} ={r}^{\mathrm{2}} \\ $$$$\: \\ $$$$\mathrm{Point}\:{P}=\left({a},\:{b},\:{c}\right) \\ $$$$\mathrm{Point}\:{Q}=\left({l},\:{m},\:{n}\right) \\ $$$$\mathrm{Both}\:\mathrm{points}\:\mathrm{lie}\:\mathrm{on}\:\mathrm{the}\:\mathrm{curve} \\ $$$$\: \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{shortest}\:\mathrm{path}\:\mathrm{from}\:\mathrm{point}…
Question Number 11278 by malwaan last updated on 19/Mar/17 $${please} \\ $$$${what}\:{is}\:{the}\:{meaning}\:{of} \\ $$$${I}\:{go}\:{go}\:{the}\:{go} \\ $$ Commented by Joel576 last updated on 19/Mar/17 $$??? \\…
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Question Number 142341 by mohammad17 last updated on 30/May/21 Commented by mohammad17 last updated on 30/May/21 $${how}\:{can}\:{solve}\:{this} \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 142333 by mohammad17 last updated on 30/May/21 Commented by mohammad17 last updated on 30/May/21 $${please}\:{sir}\:{help}\:{me} \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 142310 by mathocean1 last updated on 29/May/21 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{for}\:\mathrm{n}\in\:\mathbb{N},\:\mathrm{A}_{\mathrm{n}} =\mathrm{n}^{\mathrm{2}} \left(\mathrm{n}^{\mathrm{2}} −\mathrm{1}\right) \\ $$$$\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{12} \\ $$ Answered by MJS_new last updated on 29/May/21 $${A}_{\mathrm{6}{k}}…
Question Number 11218 by FilupS last updated on 17/Mar/17 $$\mathrm{at}\:\mathrm{tinkutara} \\ $$$$\: \\ $$$$\mathrm{there}\:\mathrm{are}\:\mathrm{major}\:\mathrm{bugs}\:\mathrm{with}\:\mathrm{combining} \\ $$$$\mathrm{brackets}. \\ $$$$\: \\ $$$$\mathrm{e}.\mathrm{g}.\:\mathrm{typing}: \\ $$$$\mid{A}\rangle=\left(\mid{B}^{\ast} \rangle\right)^{\mathrm{T}} \\ $$$$\:…