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In which quadrant does the point(0, 9) lie?
- a)x-axis
- b)y-axis
- c)3rd
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In which quadrant does the point(0, 9) lie?a)x-axisb)y-axisc)3rdd)None...
The point (0, 9) lies in y-axis.
Most Upvoted Answer
In which quadrant does the point(0, 9) lie?a)x-axisb)y-axisc)3rdd)None...
In first quadrant on y axis
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In which quadrant does the point(0, 9) lie?a)x-axisb)y-axisc)3rdd)None...
Explanation:
To determine in which quadrant the point (0, 9) lies, we need to understand the coordinates and quadrants on a Cartesian plane.
Cartesian Plane:
The Cartesian plane is formed by two perpendicular lines called the x-axis and the y-axis. The point where these two axes intersect is called the origin and has coordinates (0, 0).
Quadrants:
The Cartesian plane is divided into four quadrants:
1. The first quadrant (Q1) is the area where both x and y coordinates are positive.
2. The second quadrant (Q2) is the area where the x coordinate is negative and the y coordinate is positive.
3. The third quadrant (Q3) is the area where both x and y coordinates are negative.
4. The fourth quadrant (Q4) is the area where the x coordinate is positive and the y coordinate is negative.
Analysis:
The point (0, 9) has an x-coordinate of 0 and a y-coordinate of 9. Since the x-coordinate is 0, it means that the point lies on the y-axis. The y-axis is the vertical line where the x-coordinate is always 0.
Conclusion:
Therefore, the point (0, 9) lies on the y-axis, which corresponds to option B.
To determine in which quadrant the point (0, 9) lies, we need to understand the coordinates and quadrants on a Cartesian plane.
Cartesian Plane:
The Cartesian plane is formed by two perpendicular lines called the x-axis and the y-axis. The point where these two axes intersect is called the origin and has coordinates (0, 0).
Quadrants:
The Cartesian plane is divided into four quadrants:
1. The first quadrant (Q1) is the area where both x and y coordinates are positive.
2. The second quadrant (Q2) is the area where the x coordinate is negative and the y coordinate is positive.
3. The third quadrant (Q3) is the area where both x and y coordinates are negative.
4. The fourth quadrant (Q4) is the area where the x coordinate is positive and the y coordinate is negative.
Analysis:
The point (0, 9) has an x-coordinate of 0 and a y-coordinate of 9. Since the x-coordinate is 0, it means that the point lies on the y-axis. The y-axis is the vertical line where the x-coordinate is always 0.
Conclusion:
Therefore, the point (0, 9) lies on the y-axis, which corresponds to option B.
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