Question

The octant in which the point (2,-4,-7) lies is

• A. Eighth
• B. Fourth
• C. Third
• D. Fifth

Answer 1

The Correct Option is A

To determine the octant in which the point (2, -4, -7) lies, we need to consider the signs of its coordinates.
In an octant, the x, y, and z coordinates can have either positive (+) or negative (-) values.

Given the point (2, -4, -7), we can determine the octant as follows:
First, consider the x-coordinate, which is 2. Since it is positive, we eliminate the octants with negative x-values (4^th, 5^th, 6^th, and 7^th).
Next, consider the y-coordinate, which is -4. Since it is negative, we eliminate the octants with positive y-values (1^st, 2^nd, 5^th, and 6^th).
Lastly, consider the z-coordinate, which is -7. Since it is negative, we eliminate the octants with positive z-values (1^st, 2^nd, 3^rd, and 4^th).

Based on the elimination process, we find that the point (2, -4, -7) lies in the Eighth octant.
Therefore, the octant in which the point (2, -4, -7) lies is the Eighth octant (option A).