Q.

A point Q is at a distance 3 from the point P (1, 1, 1) lying on the line joining the points A(0, –1, 3) and P, has the coordinates

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a

(4, 7, –5)

b

(0, 0, 3)

c

(2, 3, –1)

d

(–2, –5, 7)

answer is A.

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Detailed Solution

A point Q is at a distance 3 from the point P (1, 1, 1) lying on the line joining the points A(0, –1, 3) and P, has the coordinates

The direction ratios of the line joining the points A,Pare 1,2,-2

The direction  cosines of the line joining the points A,P is 13,23,-23

The coordinates of a point at a distance of 3 units from the point P (1, 1, 1) is Q1+1.1+2,1-2=2,3,-1

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