Question Number 5539 by Rasheed Soomro last updated on 19/May/16 $$\mathrm{How}\:\mathrm{many}\:\boldsymbol{\mathrm{planes}}\:\mathrm{can}\:\mathrm{pass}\:\mathrm{through} \\ $$$$\boldsymbol{\mathrm{vertices}}\:\mathrm{of}\:\mathrm{a}\:\boldsymbol{\mathrm{cube}}, \\ $$$$\left.{a}\right)\:\mathrm{when}\:\mathrm{each}\:\mathrm{plane}\:\mathrm{contains}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{least}} \\ $$$$\boldsymbol{\mathrm{three}}\:\boldsymbol{\mathrm{vertices}}. \\ $$$$\left.{b}\right)\:\mathrm{when}\:\mathrm{each}\:\mathrm{plane}\:\mathrm{contains}\:\boldsymbol{\mathrm{exactly}} \\ $$$$\boldsymbol{\mathrm{four}}\:\boldsymbol{\mathrm{vertices}}. \\ $$$$\left.{c}\right)\:\mathrm{Could}\:\mathrm{we}\:\mathrm{say}\:\mathrm{that}\:\mathrm{a}\:\mathrm{plane}\:\mathrm{can}\:\mathrm{pass} \\ $$$$\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{most}}\:\boldsymbol{\mathrm{four}}\:\boldsymbol{\mathrm{vertices}}?…
Question Number 71073 by TawaTawa last updated on 11/Oct/19 Commented by Prithwish sen last updated on 11/Oct/19 $$\mathrm{a}^{\mathrm{2}} =\:\mathrm{b}^{\mathrm{2}} +\mathrm{c}^{\mathrm{2}} +\mathrm{2bc} \\ $$$$\therefore\:\boldsymbol{\mathrm{bc}}\:=\:\frac{\boldsymbol{\mathrm{a}}^{\mathrm{2}} −\boldsymbol{\mathrm{b}}^{\mathrm{2}} −\boldsymbol{\mathrm{c}}^{\mathrm{2}}…
Question Number 136605 by bemath last updated on 23/Mar/21 Answered by peter frank last updated on 25/Mar/21 $$\frac{\mathrm{2}}{\mathrm{1029}} \\ $$ Terms of Service Privacy Policy…
Question Number 136604 by bemath last updated on 23/Mar/21 $$ \\ $$What is the equation of a tangent to a circle whose equation is x^2+y^2−2x−4y=1 at point (1+√5,3)…
Question Number 136607 by EDWIN88 last updated on 23/Mar/21 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}} \:\mathrm{if}\:\mathrm{ax}+\mathrm{by}=\mathrm{3} \\ $$$$\mathrm{bx}−\mathrm{ay}\:=\:\mathrm{4}\:\mathrm{and}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{4} \\ $$ Answered by MJS_new last updated on 24/Mar/21…
Question Number 5533 by Rasheed Soomro last updated on 18/May/16 $$\mathrm{Measure}\:\mathrm{of}\:\mathrm{the}\:\mathrm{side}\:\mathrm{of}\:\mathrm{a}\:\mathrm{cube}\:\mathrm{is}\:\mathrm{double} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{the}\:\mathrm{side}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cube}\:\mathrm{inside}\:\mathrm{it}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{empty}\:\mathrm{space}\:\mathrm{in}\:\mathrm{larger}\:\mathrm{cube}? \\ $$ Commented by FilupSmith last updated on 18/May/16 $$\mathrm{Empty}\:\mathrm{space}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{the}\:\mathrm{larger}…
Question Number 5532 by Rasheed Soomro last updated on 18/May/16 $$\mathrm{Volume}\:\mathrm{of}\:\mathrm{a}\:\mathrm{cube}\:\mathrm{and}\:\mathrm{its}\:\mathrm{surface}-\mathrm{area} \\ $$$$\mathrm{are}\:\mathrm{numerically}\:\mathrm{equal}.\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{measure}\:\mathrm{of}\:\mathrm{the}\:\mathrm{side}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cube}? \\ $$$$ \\ $$ Commented by FilupSmith last updated on…
Question Number 5531 by Rasheed Soomro last updated on 18/May/16 $$\mathrm{Once}\:\mathrm{I}\:\mathrm{opened}\:\mathrm{an}\:\mathrm{algebra}-\mathrm{book}.\mathrm{Instead} \\ $$$$\mathrm{of}\:\mathrm{individual}\:\mathrm{page}\:\mathrm{numbers}\:\mathrm{there}\:\mathrm{was} \\ $$$$\mathrm{written}:“{sum}\:{of}\:{page}\:{numbers}\:\:{infront} \\ $$$${of}\:{you}\:{is}\:\mathrm{x}''.\mathrm{Determine}\:\mathrm{the}\:\mathrm{page}\:\mathrm{numbers} \\ $$$$\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{x}. \\ $$ Commented by prakash jain…
Question Number 5529 by Rasheed Soomro last updated on 18/May/16 Commented by Rasheed Soomro last updated on 18/May/16 $$\bigtriangleup\mathrm{ABC}\:\mathrm{is}\:\mathrm{an}\:\mathrm{equilaterl}\:\mathrm{triangle}. \\ $$$$\mathrm{D},\mathrm{E},\mathrm{F}\:\mathrm{are}\:\mathrm{mid}-\mathrm{points}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sides}. \\ $$$$\mathrm{The}\:\mathrm{centres}\:\mathrm{of}\:\mathrm{arcs}\:\mathrm{are}\:\mathrm{vertices}\:\mathrm{of} \\ $$$$\bigtriangleup\mathrm{ABC}.…
Question Number 136597 by Dwaipayan Shikari last updated on 23/Mar/21 Answered by mr W last updated on 23/Mar/21 Commented by otchereabdullai@gmail.com last updated on 25/Mar/21…