Which of the following pairs of lines can be parallel ?
1. Two tangents to a circle.
2. Two diameters of a circle.
3. A chord of circle and a tangent to a tangent to a circle.
4. Two chords of a circle.
Select the correct answer using the codes given below :

Options

A. 1, 2 and 3
B. 2, 3 and 4
C. 1, 3 and 4
D. 1, 2 and 4

Answer

To determine which pairs of lines can be parallel among the given options, let's analyze each condition step by step.

### Step 1: Analyze Two Tangents to a Circle
- **Explanation**: When two tangents are drawn from an external point to a circle, they can be parallel if they are drawn from points that are equidistant from the center of the circle.
- **Conclusion**: This condition can be satisfied, so **two tangents to a circle can be parallel**.

### Step 2: Analyze Two Diameters of a Circle
- **Explanation**: A diameter of a circle always passes through the center. Therefore, any two diameters will intersect at the center of the circle.
- **Conclusion**: This condition cannot be satisfied, so **two diameters of a circle cannot be parallel**.

### Step 3: Analyze a Chord of a Circle and a Tangent to a Circle
- **Explanation**: A tangent to a circle is always perpendicular to the radius at the point of tangency. A chord can be parallel to a tangent if it is drawn in such a way that it does not intersect the tangent line.
- **Conclusion**: This condition can be satisfied, so **a chord of a circle and a tangent to a circle can be parallel**.

### Step 4: Analyze Two Chords of a Circle
- **Explanation**: Two chords can be drawn in a circle, and there are configurations where they can be parallel. For example, if both chords are drawn horizontally or vertically within the circle.
- **Conclusion**: This condition can be satisfied, so **two chords of a circle can be parallel**.

### Final Conclusion
Based on the analysis:
1. Two tangents to a circle: **Can be parallel**
2. Two diameters of a circle: **Cannot be parallel**
3. A chord of a circle and a tangent to a circle: **Can be parallel**
4. Two chords of a circle: **Can be parallel**

Thus, the correct answer is that pairs of lines that can be parallel are: **1st, 3rd, and 4th**.