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The plane containing the line (x-1)/(1)=...

The plane containing the line `(x-1)/(1)=(y-2)/(2)=(z-3)/(3)` and parallel to the line `(x)/(1)=(y)/(1)=(z)/(4)` passes through the point

A

(1,-2,5)

B

(1,0,5)

C

(0,3,-5)

D

(-1,-3,0)

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The correct Answer is:
B
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(i) Find the equations of the straight line passing through the point (2,3,-1) and is perpendicular to the lines : ( x-2)/(2) = (y + 1)/(1) = (z - 3)/(-3) and (x - 3)/(1) = (y + 2)/(1) = (z - 1)/(1) . (ii) Find the equation of the line which intersects the lines : (x + 2)/(1) = (y - 3)/(2) = (z + 1)/(4) and (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) Perpendicular and passes through the point (1,1,1) .