Assertion (A): Two resistance having value R each. Their equivalent resistance is `R/2`.
Reason (R): Given Resistance are connected in parallel.

Options

A. Both A and R are true and R is the correct explanation of A.
B. Both A and R are true but R is NOT the correct explanation of A
C. A is true but R is false.
D. A is false and R is true.

Explanation

To solve the assertion and reason question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "Two resistances having value R each have an equivalent resistance of R/2."
- This implies that the two resistances are connected in such a way that their combined effect on the circuit results in a total resistance of R/2.

2. **Understanding the Reason (R)**:
- The reason states that "The given resistances are connected in parallel."
- In electrical circuits, when resistors are connected in parallel, the total or equivalent resistance can be calculated using the formula:
\[ \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} \]
- For two resistors of equal value R, this becomes:
\[ \frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R} = \frac{2}{R} \]
- Therefore, the equivalent resistance \( R_{eq} \) is:
\[ R_{eq} = \frac{R}{2} \]

3. **Conclusion**:
- Since the calculation confirms that the equivalent resistance of two resistors R connected in parallel is indeed R/2, we can conclude that both the assertion and the reason are true.
- Furthermore, the reason correctly explains why the assertion is true.

### Final Answer:
- Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A.