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The equation of the line passing through `(-4, 3, 1),` parallel to the plane `x +2y-z-5=0` and intersecting the line `(x+1)/-3=(y-3)/2=(z-2)/-1`

A.`(x+4)/1=(y-3)/1=(z-1)/3`
B. `(x+4)/3=(y-3)/(-1)=(z-1)/1`
C. `(x-4)/2=(y+3)/1=(z+1)/4`
D. `(x+4)/(-1)=(y-3)/1=(z-1)/1`

A

`(x+4)/(3) = (y-3)/(-1) = (z-1)/(1)`

B

`(x+4)/(-1) = (y-3)/(1)= (z-1)/(1)`

C

`(x+4)/(1) = (y-3)/(1) = (z-1)/(3)`

D

`(x-4)/(2) = (y+3)/(1) = (z+1)/(4)`

Text Solution

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The correct Answer is:
A
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