Class 8 Exam > Class 8 Questions > Which of the following statements is true?a)T...
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Which of the following statements is true?
- a)The X-axis is a vertical line.
- b)The Y-axis is a horizontal line.
- c)The scale on both the axes must be the same in a Cartesian plane.
- d)The point of intersection between the X-axis and Y-axis is called the origin.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following statements is true?a)The X-axis is a vertical l...
Origin is the point of intersection of the X and Y axes.
Most Upvoted Answer
Which of the following statements is true?a)The X-axis is a vertical l...
The point of intersection between the X-axis and Y-axis is called the origin.
The correct answer is option 'D' - The point of intersection between the X-axis and Y-axis is called the origin.
The Cartesian plane, also known as the coordinate plane, is a two-dimensional plane formed by two perpendicular lines called the X-axis and the Y-axis. The X-axis is a horizontal line, and the Y-axis is a vertical line. These axes intersect at a single point known as the origin.
Explanation:
Cartesian Plane:
- The Cartesian plane is a mathematical concept that represents a two-dimensional space. It is named after the French mathematician and philosopher René Descartes.
- The plane is formed by two perpendicular lines, the X-axis and the Y-axis, which divide the plane into four quadrants.
- The X-axis is a horizontal line that extends infinitely in both the positive (+X) and negative (-X) directions.
- The Y-axis is a vertical line that also extends infinitely in both the positive (+Y) and negative (-Y) directions.
The Origin:
- The point of intersection between the X-axis and Y-axis is called the origin.
- It is denoted by the coordinates (0, 0), where the first number represents the position on the X-axis and the second number represents the position on the Y-axis.
- The origin serves as the reference point for the Cartesian plane and helps locate other points in the plane.
- All other points on the plane are described with respect to their distance from the origin along the X-axis (horizontal) and Y-axis (vertical).
Example:
- If a point is located 3 units to the right of the origin and 2 units above the origin, its coordinates would be (3, 2).
- Similarly, a point located 2 units to the left of the origin and 4 units below the origin would have coordinates (-2, -4).
The statement "The point of intersection between the X-axis and Y-axis is called the origin" is true because the origin is the common reference point in the Cartesian plane where the X-axis and Y-axis intersect.
The correct answer is option 'D' - The point of intersection between the X-axis and Y-axis is called the origin.
The Cartesian plane, also known as the coordinate plane, is a two-dimensional plane formed by two perpendicular lines called the X-axis and the Y-axis. The X-axis is a horizontal line, and the Y-axis is a vertical line. These axes intersect at a single point known as the origin.
Explanation:
Cartesian Plane:
- The Cartesian plane is a mathematical concept that represents a two-dimensional space. It is named after the French mathematician and philosopher René Descartes.
- The plane is formed by two perpendicular lines, the X-axis and the Y-axis, which divide the plane into four quadrants.
- The X-axis is a horizontal line that extends infinitely in both the positive (+X) and negative (-X) directions.
- The Y-axis is a vertical line that also extends infinitely in both the positive (+Y) and negative (-Y) directions.
The Origin:
- The point of intersection between the X-axis and Y-axis is called the origin.
- It is denoted by the coordinates (0, 0), where the first number represents the position on the X-axis and the second number represents the position on the Y-axis.
- The origin serves as the reference point for the Cartesian plane and helps locate other points in the plane.
- All other points on the plane are described with respect to their distance from the origin along the X-axis (horizontal) and Y-axis (vertical).
Example:
- If a point is located 3 units to the right of the origin and 2 units above the origin, its coordinates would be (3, 2).
- Similarly, a point located 2 units to the left of the origin and 4 units below the origin would have coordinates (-2, -4).
The statement "The point of intersection between the X-axis and Y-axis is called the origin" is true because the origin is the common reference point in the Cartesian plane where the X-axis and Y-axis intersect.
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Which of the following statements is true?a)The X-axis is a vertical line.b)The Y-axis is a horizontal line.c)The scale on both the axes must be the same in a Cartesian plane.d)The point of intersection between the X-axis and Y-axis is called the origin.Correct answer is option 'D'. Can you explain this answer?
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