The position of a point in a plane is provided by the coordinates on the graph. XOX’ and YOY’ are the two intersecting and perpendicular lines. We know that x-axis and y-axis divide the XY-plane into four parts known as quadrants. The position of a point in the plane is defined with the help of ordered pairs. Let us discuss more about the position of a point in a plane from this article. Scroll down this page to practice the examples problems on the position of a point in the plane from the chapter reflection.

**Also Go through:**

- Reflection of a Point in the y-axis
- Reflection of a Point in the Origin
- Reflection of a Point in the x-axis

## Position of a Point in a Plane

The position of a point in the plane is expressed by a set of values or numbers called coordinates. There are two coordinates in the geometry they are x-coordinate known as abscissa and y-coordinate known as ordinate. Any point in a plane is referred to by a point (x, y), where the x-value is the position of the point with reference to the x-axis and the y-value is the position of the point with reference to the y-axis.

### Position of a Point in a Plane Examples

Check out the problems given in the below section to understand in depth about the position of a point in a plane.

**Example 1.**

Find the position of a point in a plane (2,4).

**Solution:**

Given that the point is (2,4)

Consider the point (2,4) has A.

Plot the point A(2,4) in the first quadrant takes a distance of 2 from the x-axis and 4 from the y axis.

So, the coordinates of A are (2, 4). We express it by writing A = (2, 4).

And also consider B, C, and D are also points in the other quadrant whose distance from the y-axis and the x-axis are the same point. But due to their positions in different quadrants, their coordinates are different. Thus, the coordinates of B, in the second quadrant, are (-2, 4), and C is the third quadrant, are (-2, -4) and D is the fourth quadrant, are (2, -4).

**Example 2.**

Find the position of a point in a plane (6,7).

**Solution:**

Given that the point is (6,7)

Consider the point (6,7) has A.

Plot the point A(6,7) in the first quadrant takes a distance of 6 from the x-axis and 7 from the y axis.

So, the coordinates of A are (6, 7). We express it by writing A = (6, 7).

And also consider B, C, and D are also points in the other quadrant whose distance from the y-axis and the x-axis are the same point. But due to their positions in different quadrants, their coordinates are different. Thus, the coordinates of B, in the second quadrant, are (-6, 7), and C is the third quadrant, are (-6, -7) and D is the fourth quadrant, are (6, -7).

**Example 3.**

Find the position of a point in a plane (12,14).

**Solution:**

Given that the point is (12,14)

Consider the point (12,14) has A.

Plot the point A(12,14) in the first quadrant takes a distance of 12 from the x-axis and 14 from the y axis.

So, the coordinates of A are (12, 14). We express it by writing A = (12, 14).

And also consider B, C, and D are also points in the other quadrant whose distance from the y-axis and the x-axis are the same point. But due to their positions in different quadrants, their coordinates are different. Thus, the coordinates of B, in the second quadrant, are (-12, 14), and C is the third quadrant, are (-12, -14) and D is the fourth quadrant, are (12, -14)

**Example 4.**

Find the position of a point in a plane (5,10).

**Solution:**

Given that the point is (5,10)

Consider the point (5,10) has A.

Plot the point A(5,10) in the first quadrant takes a distance of 5 from the x-axis and 10 from the y axis.

So, the coordinates of A are (5, 10). We express it by writing A = (5, 10).

And also consider B, C, and D are also points in the other quadrant whose distance from the y-axis and the x-axis are the same point. But due to their positions in different quadrants, their coordinates are different. Thus, the coordinates of B, in the second quadrant, are (-5, 10), and C is the third quadrant, are (-5, -10) and D is the fourth quadrant, are (5, -10).

**Example 5.**

Find the position of a point in a plane (2,9).

**Solution:**

Given that the point is (2,9)

Consider the point (2,9) has A.

Plot the point A(2,9) in the first quadrant takes a distance of 2 from the x axis and 9 from the y axis.

So, the coordinates of A are (2, 9). We express it by writing A = (2, 9).

And also consider B, C, and D are also points in the other quadrant whose distance from the y-axis and the x-axis are the same point. But due to their positions in different quadrants, their coordinates are different. Thus, the coordinates of B, in the second quadrant, are (-2, 9), and C is the third quadrant, are (-2, -9) and D is the fourth quadrant, are (2, -9).

### FAQs on Position of a Point in a Plane

**1. What is the position of a plane?**

A plane is a surface in which any two points are taken and the straight line drawn to join these two points that lie within that plane or surface.

**2. What is the first coordinate of a point?**

If the coordinates points are (a,b). The first point named in the ordered pair is called x-coordinate and the second is called the y-coordinate.

**3. How many points determine a line?**

If any two distinct points in a plane determine a line, and the equation is also determined by the coordinates of the points.