What are the coordinates of the vertices of a cube whose edge is 2 units, one of whose vertices coincides with the origin and the three edges passing through the origin, coincides with the positive direction of the axes through the origin?

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7 months ago

This is a long answer type question as classified in NCERT Exemplar

G i v e n t h a t e a c h e d g e o f t h e c u b o i d i s 2 u n i t s . C o o r d i n a t e s o f t h e v e r t i c e s a r e A ( 2 , 0 , 0 ) , B ( 2 , 2 , 0 ) , C ( 0 , 2 , 0 ) , D ( 0 , 2 , 2 ) , E ( 0 , 0 , 2 ) , F ( 2 , 0 , 2 ) , G ( 2 , 2 , 2 ) a n d O ( 0 , 0 , 0 ) .

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This is a long answer type question as classified in NCERT Exemplar

Letthegiven pointsareA(0,1,7),B(2,1,9),C(6,5,13)AB=(20)2+(1+1)2+(9+7)2=4+4+4=12=23BC=(62)2+(51)2+(13+9)2=16+16+16=48=43AC=(60)2+(5+1)2+(13+7)2=36+36+36=108=6323+43=63i.e.,AB+BC=ACAB:AC=23:63=1:3Hence, pointAdividesBandCin1:3externally.

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Maths NCERT Exemplar Solutions Class 12th Chapter Twelve 2025

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