Use the midpoint formula: x-mid = (x1 + x2) / 2. For x: –7 = (3 + x) / 2 which gives x = –17. For y: 1 = (–4 + y) / 2 which gives y = 6. Point B is (–17, 6).
Use the connection you found to find the coordinates of B given that M (–7, 1) is the midpoint of A (3, – 4) and B (x, y).
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The midpoint M (x, y) is the average of the coordinates of endpoints A and B. To find point B (x, y), we set up two simple equations: –7 = (3 + x) / 2 and 1 = (–4 + y) / 2. Solving for x, we multiply –7 by 2 to get –14, then subtract 3 to get –17. Solving for y, we multiply 1 by 2 to get 2, then add 4 to get 6. Point B is (–17, 6).
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/