For the linex−11=y−22=z−33 which one of the following is incorrect?
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a
It lies in the plane x -2y+z = 0
b
It is same as Line x1=y2=z3
c
It passes through (2,3,5)
d
It is parallel to the plane x - 2y + z - 6 = 0
answer is C.
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Detailed Solution
(1,2,3) satisfies the plane x−2y+z=0 and also (i^+2j^+3k^)⋅(i^−2j^+k^)=0 Sincethelines x−11=y−22=z−33 and x1=y2=z3both satisfy (0, 0, 0) and (1,2,3), both are same. Given line is obviously parallel to the plane x - 2y +z=6.