Question

The distance of the point \( A(4a, 3a) \) from x-axis is :

• A. \( 3a \)
• B. \( -3a \)
• C. \( 4a \)
• D. \( -4a \)

Hint:

Distance from x-axis = y-coordinate value. Distance from y-axis = x-coordinate value.

Answer 1

The Correct Option is A

To find the distance of the point \( A(4a, 3a) \) from the x-axis, we must understand what the coordinates represent. The point \( A(4a, 3a) \) can be broken down as follows:

• The first coordinate, \( 4a \), is the x-coordinate.
• The second coordinate, \( 3a \), is the y-coordinate.

The distance of a point from the x-axis is determined by the absolute value of its y-coordinate. This is because the x-axis is a horizontal line, and any vertical distance from this line to a point is given by the y-coordinate.

Therefore, the distance from the point \( A(4a, 3a) \) to the x-axis is the absolute value of \( 3a \), which is:

|3a| = 3a

Since distances cannot be negative, we consider only the positive value. Therefore, the correct answer is \( 3a \).

Consequently, the correct option is:

• \( 3a \)

Thus, the others are incorrect as distances cannot be negative, ruling out \( -3a \) and \( -4a \). The value \( 4a \) doesn't correspond to the required measure, which is based on the y-coordinate.