Question Number 50963 by ajfour last updated on 22/Dec/18 Commented by ajfour last updated on 22/Dec/18 $${Find}\:{equation}\:{of}\:{parabola}\:{for}\:{the} \\ $$$${two}\:{coloured}\:{areas}\:{to}\:{be}\:{equal}. \\ $$ Answered by mr W…
Question Number 50952 by ajfour last updated on 22/Dec/18 Commented by ajfour last updated on 22/Dec/18 $${Find}\:{maximum}\:{area}\:{between}\:{the} \\ $$$${parabola}\:{and}\:{its}\:{chord}\:{of}\:{length}\:{l}. \\ $$ Commented by mr W…
Question Number 50898 by ajfour last updated on 21/Dec/18 Commented by ajfour last updated on 21/Dec/18 $${If}\:{length}\:{of}\:{BP}\:\:{is}\:{maximum} \\ $$$${and}\:{equal}\:{to}\:\boldsymbol{{l}},\:{and}\:{the}\:{two}\:{coloured} \\ $$$${areas}\:{equal},\:{find}\:\boldsymbol{{a}}\:{and}\:\boldsymbol{{b}}\:{of}\:{ellipse}. \\ $$ Answered by…
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Question Number 50820 by ajfour last updated on 20/Dec/18 Commented by ajfour last updated on 20/Dec/18 $${Choose}\:{your}\:{origin}\:{and}\:{find}\: \\ $$$${equation}\:{of}\:{parabola}\:{such}\:{that} \\ $$$${it}\:{has}\:{maximum}\:{length}\:{inside} \\ $$$${ellipse}\:\left({parameters}\:{a}\:{and}\:{b}\right). \\ $$…
Question Number 116267 by bemath last updated on 02/Oct/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{parabola}\:\mathrm{that} \\ $$$$\mathrm{passes}\:\mathrm{through}\:\mathrm{points}\:\left(\mathrm{1},\mathrm{2}\right)\:,\left(\mathrm{3},\mathrm{4}\right)\: \\ $$$$\mathrm{and}\:\mathrm{tangents}\:\mathrm{to}\:\mathrm{the}\:\mathrm{line}\:\mathrm{y}=−\mathrm{x}+\frac{\mathrm{25}}{\mathrm{3}} \\ $$ Answered by bobhans last updated on 02/Oct/20 $$\mathrm{let}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{parabola}\:\mathrm{is}\: \\…
Question Number 116239 by bemath last updated on 02/Oct/20 $$\mathrm{a}\:\mathrm{circle}\:\mathrm{is}\:\mathrm{tangent}\:\mathrm{to}\:\mathrm{x}−\mathrm{axis}\:,\:\mathrm{y}−\mathrm{axis} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{line}\:\mathrm{3x}−\mathrm{4y}+\mathrm{6}=\mathrm{0}. \\ $$$$\mathrm{what}\:\mathrm{its}\:\mathrm{the}\:\mathrm{equation}? \\ $$ Answered by bemath last updated on 02/Oct/20 $$\mathrm{say}\:\mathrm{P}\left(\mathrm{a},\mathrm{b}\right)\:\mathrm{be}\:\mathrm{a}\:\mathrm{centre}\:\mathrm{point}\:\mathrm{the}\:\mathrm{circle} \\…
Question Number 50676 by Tinkutara last updated on 18/Dec/18 Commented by ajfour last updated on 18/Dec/18 Commented by ajfour last updated on 18/Dec/18 $${E}\left(\frac{{a}}{\mathrm{2}}\mathrm{sin}\:^{\mathrm{2}} \theta,\:\frac{{a}}{\mathrm{2}}\mathrm{cos}\:\theta\:\mathrm{sin}\:\theta\right)…
Question Number 50638 by ajfour last updated on 18/Dec/18 Commented by ajfour last updated on 18/Dec/18 $${Determine}\:\frac{{a}}{{b}}\:{for}\:{ellipse}\:{if}\:\alpha\:=\:\mathrm{45}°\:. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…
Question Number 50625 by rahul 19 last updated on 18/Dec/18 $$\mathrm{2}\:{opposite}\:{vertices}\:{of}\:{a}\:{square}\:{are}\: \\ $$$$\left(\mathrm{5},\mathrm{4}\right)\:{and}\:\left(\mathrm{1},−\mathrm{6}\right).\:{Find}\:{coordinates} \\ $$$${of}\:{remaining}\:{two}\:{vertices}\:? \\ $$ Commented by $@ty@m last updated on 18/Dec/18 $${Plot}\:{these}\:{points}\:{in}\:{graph}\:{paper}.…