Question

Consider the following two statements.

Statement -1 : The coordinate of a point on the x-axis is of the form $(x,0)$ and that of the point on the y-axis is $(0,y)$.

Statement -2 : The point of interaction of the axes is called the origin.

• A. Statement 1 is true and Statement 2 is false.
• B. Statement 1 is false and Statement 2 is true.
• C. Both the statement 1 and 2 are true
• D. Both the statement 1 and 2 are false

Answer 1

The correct option is C

Both the statement 1 and 2 are true

Step 1: Analyzing statement 1

We know that, when a point lies on x-axis, the ordinate value is always $0$ and hence the coordinates can be written as $(x,0)$.

Similarly, when the point lies on y-axis, the abscissa value is always $0$, hence the coordinates can be written as $(0,y)$.

Thus statement 1 is true.

Step 2: Analyzing statement 2

By definition, we know that the point of intersection of the coordinate axes is called the origin.

Thus statement 2 is also true.

Hence, the correct answer is option C.