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To determine whether the given chemical reaction is indeed balanced, we just have to do elemental balance in which we determine if there are equal number of the same elements in both sides of the equation. From the choices, the balanced chemical equation are letters B and C. 
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Answer:

B and C

Step-by-step explanation:

We are given that

A.[tex]Mg+FeO \rightarrow 2Fe+MgO[/tex]

On left side

Number of atoms of Fe =1

Number of atoms of O=1

Number of atoms of Mg=1

On right side

Number of atoms of Fe=2

Number of atoms of O=1

Number of atoms of Mg=1

Therefore ,the balance reaction is

[tex]2Mg+2 FeO\rightarrow 2 Fe +2MgO[/tex]

Given reaction is not balanced reaction

B.[tex]2H_2+O_2\rightarrow 2H_2O[/tex]

Number of atoms of oxygen and hydrogen  are equal on both sides .

Hence, the given reaction is balanced .

C.[tex]2K+Br_2\rightarrow 2KBr[/tex]

The number of atoms of potassium and bromine are equal on both sides.

Therefore, the given reaction is balanced .

D.[tex]C+Cl_2\rightarrow CCl_4[/tex]

Number of atoms of Chlorine are not equal on both sides therefore, the given reaction is not balanced.

Hence,option B and C are true.

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