Question

Assertion : If $x\ne y$, then $(x,y)\ne (y,x)$

Reason : If $x=y$, then $(x,y)\ne (y,x)$

Which of the following is correct?

• A. Both Assertion and Reason are true and reason is correct explanation of Assertion
• B. Both Assertion and Reason are true and Reason is not the correct explanation of Assertion
• C. Assertion is true and Reason is false.
• D. Assertion is false and Reason is true.

Answer 1

The correct option is C

Assertion is true and Reason is false.

To Identify whether the Assertion statement is True or False

We know that when the abscissa and ordinate of a point are not equal, the points marked on the graph are always different.

Thus we can conclude that when $x\ne y$, then $(x,y)\ne (y,x)$. Hence, the Assertion statement is True.

To Identify whether the Reason statement is True or False

We know that when the abscissa and ordinate of a point are equal, the points marked on the graph are always the same.

Thus we can conclude that when $x=y$, then $(x,y)=(y,x)$. Hence, the Reason statement is False.

Hence, the correct option is C.