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In which quadrant does the point P (5, -1) lie?
- a)First quadrant
- b)Second Quadrant
- c)Third Quadrant
- d)Fourth quadrant
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In which quadrant does the point P (5, -1) lie?a)First quadrantb)Secon...
In which quadrant does the point P (5, -1) lie?
To determine the quadrant in which the point P (5, -1) lies, we need to understand the concept of quadrants on a coordinate plane.
A coordinate plane is a two-dimensional plane formed by two perpendicular number lines called the x-axis and y-axis. The point where these axes intersect is called the origin, denoted by the coordinates (0, 0).
The coordinate plane is divided into four quadrants, numbered from I to IV, as shown below:
```
^ y-axis
|
II | I
-------+------->
|
III | IV
|
|
x-axis
```
Each quadrant has its own set of positive and negative coordinates:
- Quadrant I: x > 0, y > 0
- Quadrant II: x < 0,="" y="" /> 0
- Quadrant III: x < 0,="" y="" />< />
- Quadrant IV: x > 0, y < />
Now, let's analyze the coordinates of point P (5, -1):
- The x-coordinate of point P is 5, which is greater than 0.
- The y-coordinate of point P is -1, which is less than 0.
Based on the above analysis, we can conclude that point P (5, -1) lies in Quadrant III.
Therefore, the correct answer is option 'c) Third Quadrant'.
To determine the quadrant in which the point P (5, -1) lies, we need to understand the concept of quadrants on a coordinate plane.
A coordinate plane is a two-dimensional plane formed by two perpendicular number lines called the x-axis and y-axis. The point where these axes intersect is called the origin, denoted by the coordinates (0, 0).
The coordinate plane is divided into four quadrants, numbered from I to IV, as shown below:
```
^ y-axis
|
II | I
-------+------->
|
III | IV
|
|
x-axis
```
Each quadrant has its own set of positive and negative coordinates:
- Quadrant I: x > 0, y > 0
- Quadrant II: x < 0,="" y="" /> 0
- Quadrant III: x < 0,="" y="" />< />
- Quadrant IV: x > 0, y < />
Now, let's analyze the coordinates of point P (5, -1):
- The x-coordinate of point P is 5, which is greater than 0.
- The y-coordinate of point P is -1, which is less than 0.
Based on the above analysis, we can conclude that point P (5, -1) lies in Quadrant III.
Therefore, the correct answer is option 'c) Third Quadrant'.
Community Answer
In which quadrant does the point P (5, -1) lie?a)First quadrantb)Secon...
In first quadrant we have (+,+) in second quadrant we have (-,+) in third quadrant we have (-,-) and in 4quadrant we have (+,-)so (5,-1)lies in 4th quadrant.
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In which quadrant does the point P (5, -1) lie?a)First quadrantb)Second Quadrantc)Third Quadrantd)Fourth quadrantCorrect answer is option 'C'. Can you explain this answer?
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