Question

Choose the correct option(s).

• A. An Axiom is a mathematical statement that is assumed to be true without a proof.
• B. A mathematical statement whose truth has been estabilished proved is called a theorem.
• C. A conjecture is statement we believe is true based on our mathematical intuition, but which we are yet to prove.
• D. A process which can establish the truth of a mathematical statement based purely on logical arguments is called a mathematical proof.

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A An Axiom is a mathematical statement that is assumed to be true without a proof.
B A mathematical statement whose truth has been estabilished proved is called a theorem.
C A conjecture is statement we believe is true based on our mathematical intuition, but which we are yet to prove.
D A process which can establish the truth of a mathematical statement based purely on logical arguments is called a mathematical proof.

An Axiom is a mathematical statement that is assumed to be true without a proof.
Example - If a ray stands on a line, then the sum of two adjacent angles so formed is 180 degree.

A mathematical statement whose truth has been estabilished proved is called a theorem.
Example - Sum of interior angles of a triangle is 180 degrees.

A conjecture is statement we believe is true based on our mathematical intuition, but which we are yet to prove.
Example - nth term of the series 2, 4, 6, 8, 10 .... is 2n.

A process which can establish the truth of a mathematical statement based purely on logical arguments is called a mathematical proof.
We use logical arguments step by step to come to a conclusion that is synonymous with our problem statement.