The door swings in an arc of radius 2.5. If the wardrobe is within 2.5 units of B1, it will hit. A wider door would require moving the wardrobe further away to avoid collision.
If the bathroom door has a hinge at B1 and opens into the bedroom, will it hit the wardrobe? Are there any changes you would suggest if the door is made wider?
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If the door is hinged at B1 (0, 1.5) and is 2.5 units wide, it will swing into the room creating an arc with a radius of 2.5 units. It will hit the wardrobe if any part of the wardrobe is located within this circular path. If the door is made wider, the swing radius increases, meaning the wardrobe would need to be moved even further away to ensure the door can open fully without hitting it.
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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/