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 D1 x−12=y+23=z−3−6B≡(2r+1,3r−2,−6r+3)2r+1−{3r−2}−6r+3=5−7r+6=57r=1∴r=17AB=√(2r)2+(3r)2+(−6r)2=√49r2=√49×149=1Hence,theoptionDisthecorrectanswer.