A smaller cube with side \( b \) (depicted by dashed lines) is excised from a bigger uniform cub... VIDEO
A smaller cube with side \( b \) (depicted by dashed lines) is excised from a bigger uniform cube with side \( a \) as shown below such that both cubes have a common vertex \( P \). Let \( x=a / b \). If the centre of mass of the remaining solid is at the vertex
[KVPY 2016]
\( O \) of smaller cube then \( X \) satisfies
(b) \( x^{2}-x-1=0 \)
(a) \( x^{3}-x^{2}-x-1=0 \)
(d) \( x^{3}-x^{2}-x+1=0 \)
(c) \( x^{3}+x^{2}-x-1=0 \)
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