(a) Infinite number of lines can pass through a single point. (b) Only one line can pass through two given points.hence,option (d) is correct.

Explanation:

To understand why the correct answer is option 'D' (Infinite), let's break down the concept of lines that can be drawn from one point.

Definition of a Line:
A line is a straight path that extends infinitely in both directions. It is made up of an infinite number of points.

Lines from a Point:
When we consider a single point, we can draw multiple lines from that point. These lines can extend infinitely in all directions.

Key Points:
- A line can be drawn through any two points.
- Given a point, we can draw an infinite number of lines passing through it.

Proof:
If we consider a single point, we can draw a line from that point in any direction. Now, let's consider drawing a second line from the same point. Since a line is defined as extending infinitely in both directions, we can draw another line that does not coincide with the first line.

Visual Representation:
To visualize this concept, imagine a point in the center of a piece of paper. From that point, you can draw a line extending upwards. Then, you can draw a second line extending downwards. These two lines are distinct and do not intersect.

Infinite Possibilities:
By extending this logic, we can continue drawing lines in any direction from the same point. Since a line extends infinitely in both directions, we can draw an infinite number of lines from a single point.

Conclusion:
In conclusion, the correct answer is option 'D' (Infinite) because we can draw an infinite number of lines from a single point. Each line extends infinitely in both directions, providing infinite possibilities.