Let x , y x, y x , y , and z z z be real numbers satisfying: 4 ( x 2 + y 2 + z 2 ) = a 4(x^2 + y^2 + z^2) = a 4 ( x 2 + y 2 + z 2 ) = a 4 ( x − y − z ...

CAT Medium Inequalities MCQ

Question

Let

x, y

, and

z

be real numbers satisfying:

4(x^2 + y^2 + z^2) = a

4(x - y - z) = 3 + a

Then,

a

equals:

$\frac{1}{3}$

cat 2024quadratic equationsreal numbers

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