Equation of plane which passes through the intersection point of the lines `L_1:(x-1)/3=(y-2)/1=(z-3)/2 and L_2:(x-2)/2=(y-1)/2=(z-6)/- 1` and has the largest distance from origin

Explanation

The first equation can be written as

`x=3λ+1,y=λ+2,z=2λ+3`

And second as,

`∴x=μ+3,y=2μ+1,z=3μ+2`

solving (i) and (ii) we get

`=>3λ+1=μ+3 `

`=>λ+2=2μ+1`

`=>2λ+3=3μ+2`

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