Question

Point (0, -7) lies :

• A. On the X-Axis
• B. On the Y-Axis
• C. In the Fourth Quadrant
• D. In the Second Quadrant

Hint:

If the first coordinate (x) is 0, the point is on the Y-axis.
If the second coordinate (y) is 0, the point is on the X-axis.
This simple rule makes finding the location of axial points instant.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
This question is from Coordinate Geometry, dealing with the position of points in the Cartesian coordinate system.
We need to determine the location of the point \((0, -7)\).

Step 2: Key Formula or Approach:
In a Cartesian coordinate plane:
1. Any point on the X-axis has a y-coordinate of 0, represented as \((x, 0)\).
2. Any point on the Y-axis has an x-coordinate of 0, represented as \((0, y)\).
3. Points in the quadrants have both coordinates non-zero.

Step 3: Detailed Explanation:
Let the given point be \(P(x, y) = (0, -7)\).
Here, the x-coordinate is \(x = 0\) and the y-coordinate is \(y = -7\).
Since the x-coordinate is exactly \(0\), the point lies on the vertical axis (Y-axis) of the coordinate system.
Specifically, since the y-coordinate is negative (\(-7\)), it is located on the negative side of the Y-axis, 7 units below the origin.
Since it lies exactly on the axis, it does not belong to any of the four quadrants.

Step 4: Final Answer:
The point \((0, -7)\) lies on the Y-axis.