NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - True or False Questions
Question 50

Question. 50

The distance between New Delhi and Bhopal is not a variable.

Answer:

true

Detailed Answer with Explanation:

Step 1: Understand “variable”.
A variable is something that can change.
( x ) can be ( 1 ) today, ( 2 ) tomorrow — so ( x ) is a variable.

Step 2: Understand “constant”.
A constant is something that stays the same for the same objects or places.
It does not change.

Step 3: Look at our case.
We are talking about two fixed places: New Delhi and Bhopal.
Think of them as two fixed points on the map: ( A ) and ( B ).

Step 4: What is “distance between two fixed points”?
The distance between fixed points ( A ) and ( B ) is fixed.
We can write: ( d = ext{distance}(A, B) ).
This ( d ) does not change just because time passes.

Step 5: Don’t confuse with route length.
Different travel routes can be longer or shorter.
But the distance between the cities as points (on the map) stays the same.

Conclusion:
The distance between New Delhi and Bhopal is a constant, not a variable.
So the statement is true.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – True or False Questions | Detailed Answers