The number of lines that can be drawn through a point is a variable.
Step 1: What is a “variable”?
A variable is something that can take different number values, like x can be 1, 2, 3, … depending on the situation.
Step 2: What happens through one point?
Fix a single point on the paper. You can draw a line through this point in any direction.
Let the direction be shown by an angle:
( heta)
Possible angles are many:
(0^circ le heta < 180^circ)
Step 3: How many lines does that give?
For each different angle ( heta), you get a different line through the same point.
There are infinitely many choices of ( heta).
So, the number of lines through one point is
(infty)
Step 4: Is that a “variable”?
No. A variable takes specific number values (like 1, 2, 3, …) depending on conditions.
Here, the count is not a changing finite number — it is always infinite.
Conclusion: The statement “The number of lines that can be drawn through a point is a variable” is false. The number is infinite, not a variable.