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Other rooms in the house: (i) Reiaan’s room door leads from the dining room which has the length 18 ft and width 15 ft. The length of the dining room extends from point P to point A. Sketch the dining room and mark the coordinates of its corners. (ii) Place a rectangular 5 ft × 3 ft dining table precisely in the centre of the dining room. Write down the coordinates of the feet of the table.
(i) Starting from line PA, the dining room extends from P (0, 4) to A (18, 4). With a width of 15 ft, the other corners are (18, 19) and (0, 19), forming a large rectangle. (ii) The center of the room is at (9, 11.5). For a 5 ft by 3 ft table centered here, we move 2.5 units left/right and 1.5 unitsRead more
(i) Starting from line PA, the dining room extends from P (0, 4) to A (18, 4). With a width of 15 ft, the other corners are (18, 19) and (0, 19), forming a large rectangle. (ii) The center of the room is at (9, 11.5). For a 5 ft by 3 ft table centered here, we move 2.5 units left/right and 1.5 units up/down. This places the table feet at (6.5, 10), (11.5, 10), (11.5, 13) and (6.5, 13).
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 are the standard widths for a room door? Look around your home and in school.
Standard door widths vary based on their purpose. In a typical home, interior doors for bedrooms and bathrooms are usually between 30 and 32 inches wide. However, in schools and hospitals, doors are wider, often reaching 36 inches (about 3 feet). This increased width is necessary to allow for the moRead more
Standard door widths vary based on their purpose. In a typical home, interior doors for bedrooms and bathrooms are usually between 30 and 32 inches wide. However, in schools and hospitals, doors are wider, often reaching 36 inches (about 3 feet). This increased width is necessary to allow for the movement of large groups of people, heavy equipment and to comply with accessibility standards for everyone using the building.
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 lessDoes 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 less