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Considering a fixed distance from the origin, how many points can be plotted on the y axis?
- a)2
- b)3
- c)4
- d)no points
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Considering a fixed distance from the origin, how many points can be p...
Let the fixed distance be d. Since the point has to lie on Y axis, therefore abscissa of such points is 0. Hence the points can be (0, d) and (0, -d). So, Option A is the correct answer.PS: This is the link to my YouTube channel Mechnovashia:https://www.youtube.com/channel/UCI89XUuzHmY8xLV4ovBWWUwSubscribe to this channel for more such simplified explanations and concepts. ☺️
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Community Answer
Considering a fixed distance from the origin, how many points can be p...
Explanation:
To understand how many points can be plotted on the y-axis at a fixed distance from the origin, we need to consider the definition of the y-axis and the concept of distance.
Definition of the y-axis:
The y-axis is one of the two axes in a Cartesian coordinate system. It is a vertical line that passes through the origin (0,0) and is perpendicular to the x-axis.
Concept of distance:
The distance between two points in a Cartesian coordinate system is calculated using the distance formula, which is derived from the Pythagorean theorem. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of two points.
Points on the y-axis:
Points on the y-axis have an x-coordinate of 0. So, if we want to plot points on the y-axis at a fixed distance from the origin, we need to find the y-coordinate.
Let's consider a fixed distance of d from the origin. The coordinates of the points on the y-axis are (0, ±d), where the ± indicates that there are two points: one above the origin and one below the origin.
Therefore, the answer to the question is option 'A' - 2 points.
To understand how many points can be plotted on the y-axis at a fixed distance from the origin, we need to consider the definition of the y-axis and the concept of distance.
Definition of the y-axis:
The y-axis is one of the two axes in a Cartesian coordinate system. It is a vertical line that passes through the origin (0,0) and is perpendicular to the x-axis.
Concept of distance:
The distance between two points in a Cartesian coordinate system is calculated using the distance formula, which is derived from the Pythagorean theorem. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of two points.
Points on the y-axis:
Points on the y-axis have an x-coordinate of 0. So, if we want to plot points on the y-axis at a fixed distance from the origin, we need to find the y-coordinate.
Let's consider a fixed distance of d from the origin. The coordinates of the points on the y-axis are (0, ±d), where the ± indicates that there are two points: one above the origin and one below the origin.
Therefore, the answer to the question is option 'A' - 2 points.
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