1.

Find the equation of the plane through the point (1,4,-2) and parallel to the plane `-2x+y-3z=7`.A. `2x-y+3z=8`B. `2x-y+3z+8=0`C. `2x-y+3z=4`D. none of these

Answer» Correct Answer - B
Let the equation of a plane parallel to the plane `-2x+y-3z=7` be
`-2x+y-3z+k=0`……………i
This passes through (1,4,-2)
`:.(-2)(1)+4-3(-2)+k=0=k=-8`
Putting `k=-8` in i we obtain
`-2x+y-3z-8=0implies2x-y+3z+8=0`


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