# CAT 2002 | Question: 57

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If $x^2 + 5y^2 + z^2 = 2y(2x+z)$, then which of the following statements are necessarily true?

1. $x=2y$
2. $x=2z$
3. $2x=z$
1. Only I
2. Only II
3. Only III
4. Only I and II

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