(A) : No two electric lines of force can intersect each other
(R ): Tangent at any point of electric line of force gives the direction of electric field.

Options

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

Answer

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

**Assertion (A):** No two electric lines of force can intersect each other.
**Reason (R):** Tangent at any point of electric line of force gives the direction of electric field.

### Step-by-Step Solution:

1. **Understanding Electric Field Lines:**
- Electric field lines represent the direction and strength of the electric field created by electric charges. They originate from positive charges and terminate at negative charges.

2. **Analyzing the Assertion (A):**
- The assertion states that no two electric lines of force can intersect each other. This is a fundamental property of electric field lines.
- If two lines were to intersect, it would imply that at the point of intersection, the electric field has two different directions, which is not possible. Therefore, the assertion is **true**.

3. **Analyzing the Reason (R):**
- The reason states that the tangent at any point of an electric line of force gives the direction of the electric field at that point.
- This is also true because the direction of the electric field at any point is defined by the direction of the tangent to the electric field line at that point.

4. **Connecting Assertion and Reason:**
- Since both the assertion and the reason are true, we need to determine if the reason is a correct explanation of the assertion.
- The reason explains why electric field lines cannot intersect: if they did, it would lead to a contradiction in the direction of the electric field at the intersection point.

5. **Conclusion:**
- Both the assertion (A) and the reason (R) are true, and the reason (R) correctly explains the assertion (A).
- Therefore, the correct answer is: **Both A and R are true, and R is the correct explanation of A.**

### Final Answer:
Both A and R are true, and R is the correct explanation of A.

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