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Question

The distance of the point (1,−2,3) from the plane x−y+z=5 measured parallel to x2=y3=z−6 is

A
4
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B
3
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C
2
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D
1
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Solution

The correct option is D 1
x12=y+23=z36B(2r+1,3r2,6r+3)2r+1{3r2}6r+3=57r+6=57r=1r=17AB=(2r)2+(3r)2+(6r)2=49r2=49×149=1Hence,theoptionDisthecorrectanswer.

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