Question

Which of the following is a point on the y-axis ?

• A. (2, 0)
• B. (0, 2)
• C. (1, 5)
• D. (5, 1)

Hint:

Remember: "On the y-axis, x is zero. On the x-axis, y is zero." This simple rule helps in quickly identifying points on the axes without any calculation.

Answer 1

The Correct Option is B

The question asks to identify which of the given coordinate pairs represents a point that lies on the y-axis.

The key concept is the definition of the coordinate axes. Any point on the y-axis has an x-coordinate of 0. Its coordinates are of the form (0, y).
Similarly, any point on the x-axis has a y-coordinate of 0, with coordinates of the form (x, 0).

We will examine the x-coordinate of each given point.
(A) (2, 0): The x-coordinate is 2. This point lies on the x-axis.
(B) (0, 2): The x-coordinate is 0. This point lies on the y-axis.
(C) (1, 5): The x-coordinate is 1. This point lies in the first quadrant.
(D) (5, 1): The x-coordinate is 5. This point lies in the first quadrant.

The point with an x-coordinate of 0 is (0, 2). Therefore, it is the point on the y-axis.