The coordinates of a point on the lin...

The coordinates of a point on the line `(x-1)/(2)=(y+1)/(-3)=z` at a distance `4sqrt(14)` form the point (1, -1,0), is

`(-13,9,4)`

`(-7, 11,-4)`

`(11,-7,-4)`

None of these

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Verified by Experts

The correct Answer is:

Any point on the given line is
`rArr Q (2lambda + 1,-3lambda-1,lambda)`
& P(1,-1,0)
Given `PQ =4sqrt(4)`
`rArr (2lambda)^(2) + (-3lambda)^(2)+lambda^(2) = (4sqrt(14))^(2)`
`rArr 14lambda^(2) = 16 xx14`
`rArrlambda = pm 4`
`therefore` Coordinates are `rArr (9,-13,4) & (-7, 11,-4)`

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