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Mathematics · JEE | INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

हिन्दी

Consider the following statements regarding the three-dimensional rectangular coordinate system: (A) The three coordinate planes divide the space into eight parts known as octants. (B) The coordinates of any point on the YZ-plane are of the form \( (0, y, z) \). (C) If a point lies in octant V, all its coordinates \( x, y, z \) are positive. (D) The point \( (-3, 1, -2) \) lies in octant VI. Which of the above statements are correct?

  1. A
    (A), (B) and (D) only
  2. B
    (A) and (B) only
  3. C
    (B), (C) and (D) only
  4. D
    All of the above
View Answer & Solution

Correct answer · Option A

(A), (B) and (D) only

Explanation

Octant V sign scheme has \( x > 0, y > 0, z < 0 \), so statement (C) is incorrect. Statements (A), (B), and (D) are correct according to Table 11.1.
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