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The point which lies on x-axis at a distance of 4 units in the negative direction of x-axis is

  • a)
    (4, 0)

  • b)
    (-4, 0)

  • c)
    (0, 4)

  • d)
    (0, -4)

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The point which lies on x-axis at a distance of 4 units in the negativ...
To understand this, let's break down the information given:
  1. x-axis: The x-axis is the horizontal line in the coordinate plane. Any point on the x-axis will have a y-coordinate of 0 because it does not move up or down from the axis.
  2. Distance of 4 units in the negative direction of x-axis:
    • The x-axis has a positive direction (towards the right) and a negative direction (towards the left).
    • Moving 4 units in the negative direction means moving 4 units to the left from the origin (0,0).
  3. Coordinates:
    • When you move 4 units to the left on the x-axis, the x-coordinate becomes -4, and since the point is on the x-axis, the y-coordinate remains 0.
Therefore, the point that lies on the x-axis 4 units in the negative direction is (−4,0)(-4, 0)(−4,0).
This corresponds to option (b) (-4, 0).
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Most Upvoted Answer
The point which lies on x-axis at a distance of 4 units in the negativ...
Given- A point lies 4 units in negative direction of x-axis, i.e. on negative x-axis.
So, as it lies 4 units it will be (-4) and also its lies on x-axis, there is no y-axis given so y-axis will be zero. Then we get coordinates as (-4,0). So, option 'B' is correct
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Community Answer
The point which lies on x-axis at a distance of 4 units in the negativ...

Explanation:

Given:
The point lies on the x-axis at a distance of 4 units in the negative direction of the x-axis.

Understanding the Cartesian Coordinate System:
In the Cartesian coordinate system, the x-axis is a horizontal line where the y-coordinate is always 0. Moving in the negative direction of the x-axis means moving to the left side of the origin.

Finding the Point:
To find the point that lies on the x-axis at a distance of 4 units in the negative direction, we move 4 units to the left from the origin (0,0). This gives us the point (-4,0).

Therefore, the correct answer is option (B) (-4, 0).
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