Question

Assertion: The points $(-3,5)$ and $(5,-3)$ are at different positions in the coordinate plane.

Reason: If $x\ne y$, then the position of $(x,y)$ in the cartesian plane is different from the position of $(y,x)$.

Which of the following is correct?

• A. If both assertion and reason are true and reason is the correct explanation of assertion.
• B. If both assertion and reason are true but the reason is not the correct explanation of assertion.
• C. If assertion is true but reason is false.
• D. If assertion is false but reason is true.

Answer 1

The correct option is A

If both assertion and reason are true and reason is the correct explanation of assertion.

Step : To determine the assertion and reason as true or false

We know that every coordinate has unique values on the cartesian plane.

Hence the points $(-3,5)$ and $(5,-3)$ are at different positions, $(-3,5)$ lie in the II quadrant whereas, $(5,-3)$lies in the IV quadrant.

The reason statement is in line with the assertion statement.

Thus we can conclude that both the assertion and the reason are true.

Hence the correct answer is Option A.