1.

If the distance between the plane Ax 2y + z = d and the plane containing the lines2 1x=3 2y=4 3zand3 2x=4 3y=5 4zis 6 , then |d| isA. `3`B. 4C. 6D. 1

Answer» Correct Answer - C
The equation of the plane containing the given lines is
`|(x-1,y-2,z-3),(2,3,4),(3,4,5)|=0impliesx-2y+z=0`
This plane is at a distance of `sqrt(6)` units from the plane `Ax-2y+z=d`.
`:.A=1` and `(|d-0|)/(sqrt(1+4+1))=sqrt(6)`
`implies|d|=6`


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