If x -1-1- y -2- m - z -1- n is the equation of the line through 1-2-1 and -1-0-1- then 1- m - n is-MP PET 1992-A- 1-2-1B- -1-0-1C- 0-1-0D- 1-1-1

The correct option is D (1, 1, 1) 2/l= 2/m=2/n; ∴ (l,m,n) are (1,1, 1). ...

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Standard XII

Mathematics

Equation of Line: Symmetrical Form

If x -1/1= y ...

Question

If $\frac{x - 1}{l} = \frac{y - 2}{m} = \frac{z + 1}{n}$ is the equation of the line through (1, 2, -1) and (-1, 0, 1), then (l, m, n) is
[MP PET 1992]

(-1, 0, 1)

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(1, 1, -1)

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(1, 2, -1)

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(0, 1, 0)

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Solution

The correct option is B
(1, 1, -1)

$\frac{- 2}{l} = \frac{- 2}{m} = \frac{2}{n}; ∴$ (l,m,n) are (1,1,-1).

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If x−1l=y−2m=z+1n is the equation of the line through (1, 2, -1) and (-1, 0, 1), then (l, m, n) is [MP PET 1992]

The correct option is B (1, 1, -1)−2l=−2m=2n; ∴ (l,m,n) are (1,1,-1).

If $\frac{x - 1}{l} = \frac{y - 2}{m} = \frac{z + 1}{n}$ is the equation of the line through (1, 2, -1) and (-1, 0, 1), then (l, m, n) is
[MP PET 1992]

The correct option is B
(1, 1, -1)

$\frac{- 2}{l} = \frac{- 2}{m} = \frac{2}{n}; ∴$ (l,m,n) are (1,1,-1).