First slide

Equation of line in Straight lines

Question

If the shortest distance between the lines $x + 2 λ = 2 y = - 12 z, x = y + 4 λ = 6 z - 12 λ$ is $4 \sqrt{2}$ units, then a value of $λ$ is

Moderate

Solution

Lines $\frac{x + 2 λ}{1} = \frac{y}{1 / 2} = \frac{z}{- 1 / 12}$
$\frac{x}{1} = \frac{y + 4 λ}{1} = \frac{z - 2 λ}{1 / 6}$
$S . D = 4 \sqrt{2}; 49 λ^{2} = 98; λ = \sqrt{2}$

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