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Question

The foot of the perpendicular from P(1, 0, 2) to the line x+13=y22=z+11 is

A
(1,2,3)
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B
(12,1,32)
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C
(2,4,6)
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D
(2,3,6)
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Solution

The correct option is B (12,1,32)
x+13=y22=z+11=r
M(3r1,2r+2,r1)
DR's of PM are 3r2,2r+2,r3
DR's of line QM are 3,2,1
9r6+4r4+r+3=0
14r7=0r=12
M(12,1,32)

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