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Show that points (0,1,2),(2,5,8),(5,6,6) and (3,2,0) from a parallelogram. |
Answer» SOLUTION :LetA=`(0,1,2),B=(2,5,8)C=(5,6,6), D= (3,2,0)`![]() `"Then "AB=sqrt(4+16+36)=sqrt(56)` `DC =sqrt(4+16+36)=sqrt(56) ` ` "Thus" AB=DC ` `"Again" BC=sqrt(9+1+4) = sqrt(14)` `AD=sqrt(9+1+4) =sqrt(14)` `:. BC=AD ` Thus the OPPOSITE sides of the QUADRILATERAL ABCD are equal, hence it is a PARALLELOGRAM. |
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