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In moving from A (3, 4) to D (7, 1), what distance has been covered along the x-axis? What about the distance along the y-axis?
To find the distance covered along each axis, we subtract the coordinates of the two points. For the x-axis, the move from 3 to 7 results in a horizontal distance of 4 units. For the y-axis, the move from 4 to 1 results in a vertical distance of 3 units. Even though the y-direction is downward, theRead more
To find the distance covered along each axis, we subtract the coordinates of the two points. For the x-axis, the move from 3 to 7 results in a horizontal distance of 4 units. For the y-axis, the move from 4 to 1 results in a vertical distance of 3 units. Even though the y-direction is downward, the total distance or “length” of the vertical shift is considered 3 units.
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 has remained the same and what has changed with this reflection?
When a figure is reflected, its dimensions and area remain identical, meaning the shape is congruent to the original. If reflected across the y-axis, the y-coordinates stay the same, but the x-coordinates change their sign (positive becomes negative). The orientation also changes, effectively "flippRead more
When a figure is reflected, its dimensions and area remain identical, meaning the shape is congruent to the original. If reflected across the y-axis, the y-coordinates stay the same, but the x-coordinates change their sign (positive becomes negative). The orientation also changes, effectively “flipping” the image. For example, a point at (3, 4) reflected across the y-axis moves to (–3, 4). The vertical height stays the same while the horizontal side flips.
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 lessCan these distances help you find the distance AD?
The horizontal and vertical distances form the two legs of a right-angled triangle, with AD as the hypotenuse. According to the Baudhāyana-Pythagoras Theorem, the square of the distance AD is equal to the sum of the squares of the other two sides. In this case, 4 squared (16) plus 3 squared (9) equaRead more
The horizontal and vertical distances form the two legs of a right-angled triangle, with AD as the hypotenuse. According to the Baudhāyana-Pythagoras Theorem, the square of the distance AD is equal to the sum of the squares of the other two sides. In this case, 4 squared (16) plus 3 squared (9) equals 25. Taking the square root of 25 gives a direct distance of 5 units for AD.
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 lessPoint W has x-coordinate equal to – 5. Can you predict the coordinates of point H which is on the line through W parallel to the y-axis? Which quadrants can H lie in?
Any line parallel to the vertical y-axis consists of points that all share the same x-coordinate. Since point W has an x-coordinate of –5, any point H on this parallel line must also have an x-coordinate of –5, resulting in coordinates of the form (–5, y). Depending on the value of y, point H will lRead more
Any line parallel to the vertical y-axis consists of points that all share the same x-coordinate. Since point W has an x-coordinate of –5, any point H on this parallel line must also have an x-coordinate of –5, resulting in coordinates of the form (–5, y). Depending on the value of y, point H will lie in Quadrant II if the y-coordinate is positive or in Quadrant III if it is negative.
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 x-coordinate and y-coordinate of the point of intersection of the two.
In a 2-D Cartesian coordinate system, the position of any point is determined by two perpendicular lines. The horizontal line is the x-axis and the vertical line is the y-axis. These two axes cross each other at a unique point known as the origin. At the origin, no distance has been moved along eithRead more
In a 2-D Cartesian coordinate system, the position of any point is determined by two perpendicular lines. The horizontal line is the x-axis and the vertical line is the y-axis. These two axes cross each other at a unique point known as the origin. At the origin, no distance has been moved along either axis, so the x-coordinate and y-coordinate are both 0, represented as (0, 0).
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