Q. 1

Name the octants in which the following points lie:(i) (5, 2, 3)(ii) (-5, 4, 3)(iii) (4, -3, 5)(iv) (7, 4, -3)(v) (-5, -4, 7)(vi) (-5, -3, -2)(vii) (2, -5, -7)(viii) (-7, 2, -5)

Given: Points are given

To find: name of the octant

Formula used:

Notation of octants:

If x, y and z all three are positive, then octant will be XOYZ

If x is negative and y and z are positive, then the octant will be X’OYZ

If y is negative and x and z are positive, then the octant will be XOY’Z

If z is negative and x and y are positive, then the octant will be XOYZ’

If x and y are negative and z is positive, then the octant will be X’OY’Z

If z and y are negative and x is positive, then the octant will be XOY’Z’

If x and z are negative and x is positive, then the octant will be X’OYZ’

If x, y and z all three are negative, then octant will be X’OY’Z’

(i) (5, 2, 3)

In this case, since x, y and z all three are positive then octant will be XOYZ

(ii) (-5, 4, 3)

In this case, since x is negative and y and z are positive then the octant will be X’OYZ

(iii) (4, -3, 5)

In this case, since y is negative and x and z are positive then the octant will be XOY’Z

(iv) (7, 4, -3)

In this case, since z is negative and x and y are positive then the octant will be XOYZ’

(v) (-5, -4, 7)

In this case, since x and y are negative and z is positive then the octant will be X’OY’Z

(vi) (-5, -3, -2)

In this case, since x, y and z all three are negative then octant will be X’OY’Z’

(vii) (2, -5, -7)

In this case, since z and y are negative and x is positive then the octant will be XOY’Z’

(viii) (-7, 2, -5)

In this case, since x and z are negative and x is positive then the octant will be X’OYZ’

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Understand the Concept of Locus57 mins
Lecture on radical axis of 2 circles48 mins
Properties of tangents to parabola | Interactive Quiz Time40 mins
Parametric Equations of Straight line48 mins
Interactive Quiz on Common tangents & angle of intersection of 2 circles56 mins
Standard Equation of Circle54 mins
Interactive Quiz on Centroid, incentre, orthocentre & circumcentre56 mins
Various Forms of Equations of line45 mins
Lecture on Common tangents & angle of intersection of 2 circles56 mins
Properties of tangents to parabola42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses