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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## What is the ordinate (y-coordinate) of point C? tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## What is the ordinate (y-coordinate) of point C? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 20) Answer: _____(C)__ _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 20) [/size] $$? = {y_C}$$ $$\left( {1 + 2} \right)\,\,\,\left\{ \matrix{ \,OD = 2\sqrt 2 \hfill \cr \Delta AOB\,\,{\rm{isosceles}} \hfill \cr} \right.\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\{ \matrix{ \,\Delta ODB\,\,{\rm{isosceles}} \hfill \cr \,BD = OD\,\,,\,\,OB = 4 \hfill \cr} \right.\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\{ \matrix{ \,\Delta BEF\,\,{\rm{isosceles}} \hfill \cr \,FG = GB = 4 - 3 \hfill \cr} \right.$$ $$\,\, \Rightarrow \,\,\,{\rm{line}}\,\,EC\,\,\,\left\{ \matrix{ \,{\rm{slope}} = 1\,\,\,\left( {{{45}^ \circ }} \right) \hfill \cr \,F = \left( {2,0} \right) \in \,\,{\rm{line}} \hfill \cr} \right.\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,{\rm{line}}\,\,EC\,\,{\rm{unique}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,C\,\,{\rm{unique}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,{\rm{SUFF}}.$$ The correct answer is (C). We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • FREE GMAT Exam Know how you'd score today for$0

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