The distance of the point (1,0,-3) from the plane x-y-z=9 measured parallel to the line x−22=y+23=z−6−6is
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a
10 units
b
9 units
c
8 units
d
7units
answer is D.
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Detailed Solution
The given plane is x-y-z=9…….(1) The given line AB is x-22=y+23=z-66……………………(2) The equation of the line passing through (1,0,-3) and parallel to x-22=y+23=z-66 i. x-12=y-03=z+3-6=r…………(3)Any point on (3) is p2r+1,3r,−6r−3 P lies on x-y-z=92r+1−3r+6r+3=9⇒r=1p3,3,−9Q1,0,−3PQ=4+9+36=7