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Category: Coordinate Geometry

Question-50898

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…

Find-the-equation-of-parabola-that-passes-through-points-1-2-3-4-and-tangents-to-the-line-y-x-25-3-

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}\: \\…

a-circle-is-tangent-to-x-axis-y-axis-and-the-line-3x-4y-6-0-what-its-the-equation-

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} \\…

2-opposite-vertices-of-a-square-are-5-4-and-1-6-Find-coordinates-of-remaining-two-vertices-

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}.…