The equation of a line passing through the point on Z-axis at 2 units distance from origin having direction cosines⟨0,1,−1⟩ is
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a
x1=y0=z2
b
x1=y+10=z+11
c
x−22=y−35=z+13
d
x0=y1=z-2-1
answer is D.
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Detailed Solution
A point on Z-axis at 2 units distance from origin is 0,0,2The equation of the line passing through the point (x1,y1,z1) and having direction cosines ⟨l,m,n⟩ is x−x1l=y−y1m=z−z1nEquation of line passing through 0,0,2 and having direction cosines⟨0,1,−1⟩ isx0=y1=z−2−1