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Equation of the line x12=y+11=z34 is the line of intersection of ------- 

a
x+2y+1=0=2x−z+1
b
x−y+1=0=x−2z+4
c
2x−y+3=0=x−y+z
d
x−y+z=0=x−y+3z

detailed solution

Correct option is

The given line is x−12=y+1−1=z−34Equate first two equations, x−12=y+1−1⇒−x+1=2y+2⇒x+2y+1=0Equate first and last equations x−12=z−34⇒2(x−1)=z−3⇒2x−z+1=0 Therefore, the given line is intersection of x+2y+1=0=2x−z+1

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