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Q.

If OP→ is equally inclined to OX→,OY→ and  OZ→and if Pis 3 units from the origin then P which lies in the first octant is

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a

5,6,7

b

2,3,4

c

1,1,1

d

−1,−1,1

answer is C.

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Detailed Solution

If the length of the line OP=rand direction cosines of  OP¯ are l,m,n then the coordinates of the point Plr,mr,nrSince the line OP→ makes equal angles with coordinate axes, the direction cosines of OP→are 13,13,13Therefore, the coordinates of the point P where OP=3 are P1,1,1  take all positive coordinates because the point P lies in the first octant .
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