1.

Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equation x=1 + 3r, y =2 -r and z=3+4r.

Answer»

`4sqrt(26)`
`20`
`10 sqrt(13)`
NONE of these

SOLUTION :The distance of point`(1+3r, 2-r, 3+4r)` from the plane is `(|1+3r+2-r-3-4r-1|)/(sqrt(1+1+1))= (|2r+1|)/(sqrt3)= (4)/(sqrt3)`
`RARR ""r= (3)/(2), -(5)/(2)`
Hence, the points are `A((11)/(2), (1)/(2),(10)/(2)) and B ((-13)/(2), (9)/(2), (-14)/(2))`
`rArr""AB= sqrt(292)`


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