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Points P and Q are plotted on the Cartesian plane. What is the abscissa of P plus the ordinate of Q?

Class 9Coordinate GeometryCoordinate Geometry
  • A6
  • B1
  • C−1
  • D−7

Step-by-Step Solution

P is , so its abscissa -coordinate) is . Q is , so its ordinate -coordinate) is . Sum .
Answer: D) −7

Key idea: The Cartesian plane

Two perpendicular axes — horizontal -axis) and vertical -axis) — meet at the **origin** (0, 0). Together they divide the plane into four **quadrants**:

- **I**: > 0 (top right)
- **II**: > 0 (top left)
- **III**: < 0 (bottom left)
- **IV**: < 0 (bottom right)

Points ON the axes don't belong to any quadrant. (a, 0) sits on the -axis; (0, b) sits on the -axis.

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