Category: Coordinate Geometry

Question Number 188998 by SLVR last updated on 10/Mar/23 Commented by SLVR last updated on 10/Mar/23 $$kindlyhelpme$$ Commented by manxsol last updated on…

Question Number 188972 by a.lgnaoui last updated on 09/Mar/23 $$whatistheanswer$$$$A?B?C?.$$ Commented by a.lgnaoui last updated on 09/Mar/23 Commented by a.lgnaoui last…

Question Number 123080 by ajfour last updated on 22/Nov/20 Commented by ajfour last updated on 22/Nov/20 $$FindradiirandR.$$ Commented by MJS_new last updated on…

Question Number 123040 by ajfour last updated on 22/Nov/20 Commented by ajfour last updated on 22/Nov/20 $$Findmaximumsidelengthof$$$$equilateral△ABC,intermsof$$$$p,q,andr;theverticesof$$$$whichlierespectivelyonthree$$$${concentric}\:{circles}\:{of}\:{radii}\:…

Question Number 57212 by Tinkutara last updated on 31/Mar/19 Answered by ajfour last updated on 31/Mar/19 $$\mathrm{a}-2\sqrt{\mathrm{bc}}=\mathrm{b}+\mathrm{c}$$$$\Rightarrow \mathrm{c}+2\sqrt{\mathrm{b}}\sqrt{\mathrm{c}}+(\mathrm{b}-\mathrm{a})=0$$$$\Rightarrow \sqrt{\mathrm{c}}=\frac{-2\sqrt{\mathrm{b}}\pm \sqrt{4\mathrm{b}-4(\mathrm{b}-\mathrm{a})}}{2}$$$$\Rightarrow \sqrt{\mathrm{c}}=-\sqrt{\mathrm{b}}\pm \sqrt{\mathrm{a}}$$$$\mathrm{but}\:\mathrm{since}\:\sqrt{\mathrm{c}}\:>\mathrm{0}\:\mathrm{so}\:\mathrm{we}\:\mathrm{just}\:\mathrm{consider}…