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The points A(−3, 0), B(0, 4) and C(3, 0) are joined to form a triangle. What is its area, in square units?

Class 9Coordinate GeometryCoordinate Geometry
  • A24
  • B6
  • C12
  • D10

Step-by-Step Solution

A and C both lie on the -axis, so the base AC runs from to and is 6 units long. B is 4 units above the -axis, so the height is 4 units. Area = ½ × square units.
Answer: C) 12

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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