Step 1: Understanding balanced, under-reinforced, and over-reinforced sections:
A balanced section means that both concrete and steel reach their ultimate strength simultaneously.
An under-reinforced section means steel yields before the concrete reaches its maximum strength, ensuring ductile failure.
An over-reinforced section means concrete fails before steel, resulting in brittle failure.
Step 2: Evaluating the effects of changes in reinforcement:
Option (A): Increasing the area of tension reinforcement shifts the balance towards over-reinforcement. Incorrect.
Option (B): Increasing the area of compression reinforcement leads to under-reinforcement as it reduces the reliance on tensile steel. Correct.
Option (C): Decreasing the area of tension reinforcement makes the section more under-reinforced as it reaches yield stress earlier. Correct.
Option (D): Decreasing compression reinforcement does not make the section under-reinforced, but rather affects overall strength. Incorrect.
Conclusion: The correct choices that lead to under-reinforcement are:
\[
\text{Option (B) and Option (C)}
\]