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Ayushree

Asked: April 26, 2026In: Class 9 Maths

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.

(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.