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HomeCAT PYQsCAT 2024 Slot 1 Question PaperLet $$x, y,$$ and $$z$$ be real numbers satisfying $$4(…
CAT 2024 · Slot 1Quantitative AbilityQuadratic EquationsMEDIUM+3 / −1

Let x,y,x, y,x,y, and zzz be real numbers satisfying
4(x2+y2+z2)=a,4(x^{2}+y^{2}+z^{2})=a,4(x2+y2+z2)=a,
4(x−y−z)=3+a4(x-y-z)=3+a4(x−y−z)=3+a
The a equals

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