Question

Which of the following is/are Euclid's postulates?

• A. A straight line may be drawn from any one point to any other point.
• B. A circle can be drawn with any centre but a fixed radius.
• C. A terminated line cannot be produced indefinitely.
• D. All right angles are never equal to one another.

Answer 1

The correct option is A

A straight line may be drawn from any one point to any other point.

Explanation for the correct answer:

Option (A):

As per Euclid's postulate one, a straight line can be drawn from any one point to any other point.

Therefore option A is correct.

Explanation for the incorrect answers

Option (B):

As per Euclid's postulate three, it is known that a circle can be drawn with any centre and any radius.

Hence, the given statement is not Euclid's postulate.

Option (C):

As per Euclid's postulate two, it is known that a terminated line can be produced indefinitely.

Hence, the given statement is not Euclid's postulate.

Option (D):

As per Euclid's postulate four, it is known that all right angles are never equal to one another.

Hence, the given statement is not Euclid's postulate.

Hence, the correct option is (a).