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Question

Equation of the plane containing the line x+2y+3z5=0=3x+2y+z5 which is parallel to the line x1=2y=z3, is-


A
x+2y+z=0
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B
xz=0
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C
2y+2z=1
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D
x+4y+3z=0
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Solution

The correct option is A xz=0
Let plane is - 

(x+2y+3z5)+λ(3x+2y+z5)=0

Plane is parallel to x11=y21=z31

1(1+3λ)1(2+2λ)+1(3+λ)=0

λ=1

Mathematics

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