Find the equation of the plane passing through the line of intersection of the planes 2x + y - Z = 3,5x - 3y + 4z + 9 = 0 and parallel to the line `(x-1)/2=(y-3)/4=(z-5)/5`

Explanation

The given planes are


`2 x+y-z-3=0 ldots (i) `


and `5 x-3 y+4 z+9=0` `ldots(ii)`

The equation of the plane passing through the line of intersection of `(i)` and `(ii)` is given by


`(2 x+y-z-3)+bar{lambda}(5 x-3 y+4 z+9)=0 `

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