Step 1: Understanding the Concept:
Cellular organelles carry out specialized biochemical metabolic functions necessary for cellular life and growth.
Key Formula or Approach:
\[ \text{ADP} + \text{P}_i + \text{Energy (from TCA Cycle \& ETC)} \longrightarrow \text{ATP (Cellular Energy Currency)} \]
Step 2: Detailed Explanation:
Mitochondria are double-membrane-bound cellular organelles that house the enzymes for the Krebs (TCA) cycle, beta-oxidation, and oxidative phosphorylation (Electron Transport Chain).
They generate over 90% of the cell's usable biochemical energy in the form of Adenosine Triphosphate (ATP).
For this reason, mitochondria are termed the 'Powerhouse (Energy house) of the Cell'.
Step 3: Final Answer:
Thus, the energy house of the cell is Mitochondria, corresponding to option (A).