- A(8, 2)
- B(1, −9)
- C(−7, 4)
- D(0, 6)
Step-by-Step Solution
Distance from the -axis is the size of the ordinate, ignoring its sign. The ordinates give distances of 2, 9, 4 and 6 units, so (1, −9) is farthest at 9 units.
Answer: B) (1, −9)
Which of these points is farthest from the -axis?
Class 9Coordinate GeometryCoordinate Geometry
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.
- **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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Sameer claims that (−6, 1) is nearer to the y-axis than (−1, 8), because −6 is smaller…A point Q lies on the y-axis, 7 units below the origin. What are its coordinates?How many points in the whole plane have abscissa 0 and ordinate 0 at the same time?How many points in the plane have their ordinate equal to 0?The point (p, q) lies in quadrant III. In which quadrant does the point (q, p) lie?