Question

If the distance of a point is zero units from x-axis and 4 units from y-axis, then the coordinates of point can be

• A.
  (1, 1)
• B.
  (4, 0)
• C.
  (3, 4)
• D.
  (–1, 0)

Answer 1

The correct option is B

(4, 0)
Let the coordinates of the point be (x, y).

The distance of a point from the x-axis is equal to the absolute value of its y-coordinate and its distance from the y-axis is equal to the absolute value of its x-coordinate.

Since, the distance of the point (x, y) from x-axis is zero.

$\therefore y=0$

And, the distance of the point (x, y) from y-axis is 4 units.

$\therefore x=4$

Thus, the point (x, y) is (4, 0).

Hence, the correct answer is option (b).