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If two points P and Q have same abscissae and different ordinates, then points P and Q will definitely lie on
- a)Line parallel to x-axis
- b)x-axis
- c)y-axis
- d)Line parallel to y-axis
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If two points P and Q have same abscissae and different ordinates, the...
Explanation:
Points P and Q with same abscissae:
- Abscissae refers to the x-coordinate of a point on a coordinate plane.
- If points P and Q have the same abscissae, it means they lie on the same vertical line.
Different ordinates:
- Ordinates refer to the y-coordinate of a point on a coordinate plane.
- If points P and Q have different ordinates, it means they are at different heights on the coordinate plane.
Points P and Q will definitely lie on:
- Line parallel to y-axis: Since the points have the same abscissae (x-coordinate) and different ordinates (y-coordinate), they will lie on a line parallel to the y-axis.
- This is because for points to have the same x-coordinate but different y-coordinates, they must be aligned vertically along a line parallel to the y-axis.
Therefore, the correct answer is option 'D) Line parallel to y-axis'.
Points P and Q with same abscissae:
- Abscissae refers to the x-coordinate of a point on a coordinate plane.
- If points P and Q have the same abscissae, it means they lie on the same vertical line.
Different ordinates:
- Ordinates refer to the y-coordinate of a point on a coordinate plane.
- If points P and Q have different ordinates, it means they are at different heights on the coordinate plane.
Points P and Q will definitely lie on:
- Line parallel to y-axis: Since the points have the same abscissae (x-coordinate) and different ordinates (y-coordinate), they will lie on a line parallel to the y-axis.
- This is because for points to have the same x-coordinate but different y-coordinates, they must be aligned vertically along a line parallel to the y-axis.
Therefore, the correct answer is option 'D) Line parallel to y-axis'.
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Community Answer
If two points P and Q have same abscissae and different ordinates, the...
If P and Q have same abscissa but different ordinates then P and Q have coordinates, as P (a, c ), Q (a, b)
∵ x-coordinate is constant.
∴ P and Q will lie on line parallel to y-axis.
∵ x-coordinate is constant.
∴ P and Q will lie on line parallel to y-axis.
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