Question

If from a point \( B \), the length of the perpendicular drawn to the x-axis is 10 and the length of the perpendicular drawn to the y-axis is 5, then the coordinates of the point \( B \) are:

• A. \( (5, 10) \)
• B. \( (10, 5) \)
• C. \( (10, 10) \)
• D. \( (5, 5) \)

Hint:

The perpendicular distances to the x-axis and y-axis directly give the x- and y-coordinates of a point.

Answer 1

The Correct Option is B

We are given the perpendicular distances from point \( B \) to the x-axis and y-axis.
The perpendicular distance from a point to the x-axis gives the magnitude of the y-coordinate, while the perpendicular distance to the y-axis gives the magnitude of the x-coordinate.
Therefore, from the problem, the length of the perpendicular from point \( B \) to the x-axis is 10, which means the y-coordinate of \( B \) is 10.
Similarly, the length of the perpendicular from point \( B \) to the y-axis is 5, which means the x-coordinate of \( B \) is 5.
Thus, the coordinates of point \( B \) are \( (10, 5) \).