1)
Name of the quadrant containing the given point.
1st quadrant.
Given information:
Point is:
Formula used:
- If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1st quadrant.
- If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2nd quadrant.
- If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3rd quadrant.
- If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4th quadrant.
Calculation:
To give the name of the quadrant of the point
Since, both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1st quadrant. Thus, the point
2)
Name of the quadrant containing the given point.
y-axis
Given information:
Point is:
Formula used:
- If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1st quadrant.
- If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2nd quadrant.
- If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3rd quadrant.
- If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4th quadrant.
- The y coordinate of point on x -axis is 0.
- The x coordinate of point on y -axis is 0.
Calculation:
To give the name of the quadrant of the point
First note that the x coordinate of given point is 0, and it indicates that the point is on y-axis.
Thus,
3)
Name of the quadrant containing the given point.
2nd quadrant.
Given information:
Point is:
Formula used:
- If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1st quadrant.
- If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2nd quadrant.
- If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3rd quadrant.
- If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4th quadrant.
Calculation:
To give the name of the quadrant of the point
Since, the sign of x coordinate of point is negative and sign of y coordinate of that point is positive, then it is in 2nd quadrant.
Thus, the point
4)
Name of the quadrant containing the given point.
3rd quadrant.
Given information:
Point is:
Formula used:
- If both the coordinates, i.e. both x and y coordinate of a point are positive then it is in 1st quadrant.
- If the x coordinate of point is negative and y coordinate of that point is positive, then it is in 2nd quadrant.
- If both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3rd quadrant.
- If the x coordinate of point is positive and y coordinate of that point is negative, then it is in 4th quadrant.
Calculation:
To give the name of the quadrant of the point
Since, the sign of both the coordinates, i.e. both x and y coordinate of a point are negative then it is in 3rd quadrant.
Thus, the point
Chapter P Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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