Coordinate Geometry · Class 9 · CBSE Mathematics

Point Q lies in the fourth quadrant, has ordinate -6, and is at equal distances from the x-axis and the y-axis. What are the coordinates of Q?

Practice question from Coordinate Geometry (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

hard · MCQ · Q-3ED67D

Point Q lies in the fourth quadrant, has ordinate -6, and is at equal distances from the x-axis and the y-axis. What are the coordinates of Q?

  1. A.(-6, -6)
  2. B.(6, 6)
  3. C.(6, -6)Correct answer
  4. D.(-6, 6)

Solution

The distance of (x,y)(x,y) from the y-axis is ∣x∣|x|, while its distance from the x-axis is ∣y∣|y|. Equal distances give ∣x∣=∣y∣=6|x|=|y|=6. Since Q lies in the fourth quadrant, its abscissa is positive and its ordinate is negative, so Q=(6,−6)Q=(6,-6).

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