In which quadrant does the point P (-5, -1) lie?a)First quadrantb)Seco...
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 3rd quadrant.
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In which quadrant does the point P (-5, -1) lie?a)First quadrantb)Seco...
Absolutely, it will be in the third quadrant
because at there only ,
the sign of x-co- ordinate and y-co-ordinate becomes negative (-).
In which quadrant does the point P (-5, -1) lie?a)First quadrantb)Seco...
Understanding Quadrants in the Coordinate Plane
In a two-dimensional Cartesian coordinate system, the plane is divided into four quadrants based on the signs of the x (horizontal) and y (vertical) coordinates.
Identifying the Quadrants:
- First Quadrant:
- Both x and y coordinates are positive.
- Example: (3, 2)
- Second Quadrant:
- x is negative, y is positive.
- Example: (-3, 2)
- Third Quadrant:
- Both x and y coordinates are negative.
- Example: (-3, -2)
- Fourth Quadrant:
- x is positive, y is negative.
- Example: (3, -2)
Analyzing Point P (-5, -1):
- The x-coordinate is -5, which is negative.
- The y-coordinate is -1, which is also negative.
Conclusion:
Since both coordinates of point P (-5, -1) are negative, it clearly places the point in the Third Quadrant. Therefore, the correct option is C.
Understanding the coordinate system helps in visualizing points and their positions, making it easier to work with graphs and equations in mathematics.