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)

Answer :

**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 :

What is the locus of a point for which y = 0, z = 0?

RD Sharma - Mathematicsthe coordinates of the foot of the perpendicular drawn from the point P(3, 4, 5) on the yz-plane are

RD Sharma - MathematicsThe coordinates of the foot of the perpendicular from a point P(6, 7, 8) on the x-axis are

RD Sharma - MathematicsThe perpendicular distance of the point P(6, 7, 8) from xy-plane is

RD Sharma - MathematicsWrite the distance of the point P(2, 3, 5) from the xy-plane.

RD Sharma - MathematicsFill in the blanks

The equation of z-axis, are ________.

Mathematics - ExemplarEquation of y-axis is considered as

Mathematics - Exemplarx-axis is the intersection of two planes

Mathematics - ExemplarFill in the blanks

x = a represent a plane parallel to ________.

Mathematics - Exemplar