Q. 2

# Name the octant in which each of the following points lies.

(i) (1, 2, 3), (ii) (4, – 2, 3), (iii) (4, –2, –5) (iv) (4, 2, –5)

(v) (– 4, 2, 5) (vi) (–3, –1, 6) (vii) (2, – 4, – 7) (viii) (– 4, 2, – 5).

Answer :

(i) (1, 2, 3) :- 1^{st} Octant,

(ii) (4, – 2, 3) :- 4^{th} Octant,

(iii) (4, –2, –5) :- 8^{th} Octant,

(iv) (4, 2, –5) :- 5^{th} Octant,

(v) (– 4, 2, 5) :- 2^{nd} Octant,

(vi) (–3, –1, 6) :- 3^{rd} Octant,

(vii) (2, – 4, – 7) :- 8^{th} Octant,

(viii) (– 4, 2, – 5) :- 6^{th} Octant.

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PREVIOUSLocate the following points:(i) (1, – 1, 3), (ii) (– 1, 2, 4)(iii) (– 2, – 4, –7) (iv) (– 4, 2, – 5).NEXTLet A, B, C be the feet of perpendiculars from a point P on the x, y, z-axis respectively. Find the coordinates of A, B and C in each of the following where the point P is :(i) A = (3, 4, 2) (ii) (–5, 3, 7) (iii) (4, – 3, – 5)

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