(i) No part is outside. For A: 100 minus 80 is 20 (within 0 to 800). For B: 250 plus 100 is 350 (within 0 to 800). (ii) Distance between centers is 170. Sum of radii is 180. They intersect.
A computer graphics program displays images on a rectangular screen whose coordinate system has the origin at the bottom-left corner. The screen is 800 pixels wide and 600 pixels high. A circular icon of radius 80 pixels is drawn with its centre at the point A (100, 150). Another circular icon of radius 100 pixels is drawn with its centre at the point B (250, 230). Determine: (i) whether any part of either circle lies outside the screen. (ii) whether the two circles intersect each other.
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(i) Both circles are within the screen because their centers plus or minus their radii stay between 0 and 800 for width and 0 and 600 for height. (ii) The distance between center A (100, 150) and center B (250, 230) is calculated as 170 pixels. The sum of their radii is 80 plus 100, which equals 180 pixels. Since the distance between the centers is less than the combined radii, the two circular icons must overlap or intersect.
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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/