Question

Equation of the line passing through the point (0,1,2) and equally inclined to the coordintate axes, are
A. x=y-1=z-2
B. x=y+1=z+2
C. `x/0=y/3=z/2`
D. None of these

Answer 1

Correct Answer - A
Since, the line is equally inclined, therefore `l-m=n=cos theta`
Now, equation of a line passing through the point (0,1,2) and having direction cosine `(cos theta, cos theta, cos theta)` is
`(x-0)/(cos theta)=(y-1)/(cos theta)=(z-2)/(cos theta)`
`Rightarrow x=y-1=z-2`