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Rohan starts at the origin, walks 4 units left and then 3 units up, and marks that spot as A. From A he walks 7 units right and marks the new spot as B. What are the coordinates of B?

Class 9Coordinate GeometryCoordinate Geometry
  • A(7, 3)
  • B(−11, 3)
  • C(3, 3)
  • D(3, 10)

Step-by-Step Solution

Four units left and three units up from the origin gives A(−4, 3). Walking 7 units right adds 7 to the abscissa, and −4 + 7 = 3, while the ordinate stays 3. So B is (3, 3).
Answer: C) (3, 3)

Key idea: Plotting a point

To plot :
1. Start at the origin.
2. Move units along the -axis (right if positive, left if negative).
3. Move units along the -axis (up if positive, down if negative).
4. Mark the point.

Example: (3, −2). From origin, 3 right, 2 down. Lands in quadrant IV.

**Coordinates are ordered**: (3, 2) and (2, 3) are different points.

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