1.

Consider a plane P-=2x+y-z-=0 a line (x-3)/2=(y+1)/(-3)=(z-2)/(-1) and a point A(3,-4,1). L_(2) is a line passing through A intersecting L_(1) an parallel to the plane P Plane containing L_(1) and L_(2) is

Answer»

Parallel to `yz` plane
Paralel to `X` -axis
Parallel to `y`-axis
Passing through origin

Solution :Equation of line `L_(2)` is `(x-3)/1=(y+4)/(-3)=(z-1)/(-1)`
(1) Equation of plane containing `L_(1)` & `L_(2)`
`|(x-3, y+1, z-2),(0,3,1),(-1,6,2)|=0implies+3z-5=0`
(2) Volume of tetrahedron `=1/6 |(3,-4,1),(5,-4,1),(7,-7,0)|=7/3`


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