Let the foot of the perpendicular from the point (λ,2,3) on the line be the point (1,μ,2). Then the distance between the lines and is equal to:

Let the foot of the perpendicular from the point (λ,2,3) on ... — JEE PYQs | Mockzy

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Let the foot of the perpendicular from the point (λ,2,3) on the line $\frac{x - 4}{1} = \frac{y - 9}{2} = \frac{z - 5}{1}$ be the point (1,μ,2). Then the distance between the lines $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z + 4}{6}$ and $\frac{x - λ}{2} = \frac{y - μ}{3} = \frac{z + 5}{6}$ is equal to:

$\frac{12}{7}$ .

$\frac{145}{7}$ .

$\frac{146}{7}$ .

$\frac{143}{7}$ .

Let , and a vector be such that . If , then is equal to:

The value of the integral is equal to:

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