The points P (x, y) and Q (y, x) represent the same location only if the values of x and y are identical. In coordinate geometry, the order of numbers is usually critical. However, if x equals y, swapping their positions does not change the point. For instance, if x = 2 and y = 2, then both P and QRead more
The points P (x, y) and Q (y, x) represent the same location only if the values of x and y are identical. In coordinate geometry, the order of numbers is usually critical. However, if x equals y, swapping their positions does not change the point. For instance, if x = 2 and y = 2, then both P and Q are at (2, 2). If x and y are different, the points will be different.
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Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
Just as points on the y-axis have an x-coordinate of zero, any point located on the horizontal x-axis will always have a y-coordinate of exactly 0. This occurs because the point is sitting directly on the horizontal line and has not moved up or down. Consequently, the coordinates for any point on thRead more
Just as points on the y-axis have an x-coordinate of zero, any point located on the horizontal x-axis will always have a y-coordinate of exactly 0. This occurs because the point is sitting directly on the horizontal line and has not moved up or down. Consequently, the coordinates for any point on the x-axis are always written in the general form (x, 0), where x is the horizontal distance.
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Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
This claim is true and describes the fundamental property of "ordered pairs." In the Cartesian plane, the first number always represents the horizontal position and the second represents the vertical position. Because the positions are specific, (3, 5) is a completely different location than (5, 3).Read more
This claim is true and describes the fundamental property of “ordered pairs.” In the Cartesian plane, the first number always represents the horizontal position and the second represents the vertical position. Because the positions are specific, (3, 5) is a completely different location than (5, 3). The only time the location remains the same after swapping the numbers is when the x-value and y-value are the same, such as (4, 4).
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
In the Cartesian coordinate system, the y-axis represents the vertical line where the horizontal distance from the center is zero. Therefore, any point that lies anywhere on this vertical line—whether it is high up or low down—will have an x-coordinate of exactly 0. This is written in the general foRead more
In the Cartesian coordinate system, the y-axis represents the vertical line where the horizontal distance from the center is zero. Therefore, any point that lies anywhere on this vertical line—whether it is high up or low down—will have an x-coordinate of exactly 0. This is written in the general form (0, y), where y represents the specific vertical position of the point.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
For a door to be suitable for a wheelchair, it generally needs a clear opening of at least 32 to 36 inches. Most modern school buildings are designed with these wider doors to be inclusive. If you measure your school doors and find they are 3 feet wide and lack high steps at the entrance, they are lRead more
For a door to be suitable for a wheelchair, it generally needs a clear opening of at least 32 to 36 inches. Most modern school buildings are designed with these wider doors to be inclusive. If you measure your school doors and find they are 3 feet wide and lack high steps at the entrance, they are likely suitable. Doors that are too heavy or narrow would make access difficult.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
Does point Q (y, x) ever coincide with point P (x, y)? Justify your answer.
The points P (x, y) and Q (y, x) represent the same location only if the values of x and y are identical. In coordinate geometry, the order of numbers is usually critical. However, if x equals y, swapping their positions does not change the point. For instance, if x = 2 and y = 2, then both P and QRead more
The points P (x, y) and Q (y, x) represent the same location only if the values of x and y are identical. In coordinate geometry, the order of numbers is usually critical. However, if x equals y, swapping their positions does not change the point. For instance, if x = 2 and y = 2, then both P and Q are at (2, 2). If x and y are different, the points will be different.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/
See lessIs there a similar generalisation for a point on the x-axis?
Just as points on the y-axis have an x-coordinate of zero, any point located on the horizontal x-axis will always have a y-coordinate of exactly 0. This occurs because the point is sitting directly on the horizontal line and has not moved up or down. Consequently, the coordinates for any point on thRead more
Just as points on the y-axis have an x-coordinate of zero, any point located on the horizontal x-axis will always have a y-coordinate of exactly 0. This occurs because the point is sitting directly on the horizontal line and has not moved up or down. Consequently, the coordinates for any point on the x-axis are always written in the general form (x, 0), where x is the horizontal distance.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/
See lessIf x ≠ y, then (x, y) ≠ (y, x); and (x, y) = (y, x) if and only if x = y. Is this claim true?
This claim is true and describes the fundamental property of "ordered pairs." In the Cartesian plane, the first number always represents the horizontal position and the second represents the vertical position. Because the positions are specific, (3, 5) is a completely different location than (5, 3).Read more
This claim is true and describes the fundamental property of “ordered pairs.” In the Cartesian plane, the first number always represents the horizontal position and the second represents the vertical position. Because the positions are specific, (3, 5) is a completely different location than (5, 3). The only time the location remains the same after swapping the numbers is when the x-value and y-value are the same, such as (4, 4).
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/
See lessWhat is the x-coordinate of a point on the y-axis?
In the Cartesian coordinate system, the y-axis represents the vertical line where the horizontal distance from the center is zero. Therefore, any point that lies anywhere on this vertical line—whether it is high up or low down—will have an x-coordinate of exactly 0. This is written in the general foRead more
In the Cartesian coordinate system, the y-axis represents the vertical line where the horizontal distance from the center is zero. Therefore, any point that lies anywhere on this vertical line—whether it is high up or low down—will have an x-coordinate of exactly 0. This is written in the general form (0, y), where y represents the specific vertical position of the point.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/
See lessAre the doors in your school suitable for people in wheelchairs.
For a door to be suitable for a wheelchair, it generally needs a clear opening of at least 32 to 36 inches. Most modern school buildings are designed with these wider doors to be inclusive. If you measure your school doors and find they are 3 feet wide and lack high steps at the entrance, they are lRead more
For a door to be suitable for a wheelchair, it generally needs a clear opening of at least 32 to 36 inches. Most modern school buildings are designed with these wider doors to be inclusive. If you measure your school doors and find they are 3 feet wide and lack high steps at the entrance, they are likely suitable. Doors that are too heavy or narrow would make access difficult.
For Detailed Solutions:
Visit NCERT Solutions for Class 9 Ganita Manjari Chapter 1 Orienting Yourself: The Use of Coordinates Question Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-1/
See less