Question

The length of perpendicular drawn from the point (1, 2, 3) on line `x/0 = y/1 = z/0` is ______.

Options

• 2

• 6

• `sqrt10`

• `sqrt14`

Answer 1

The length of perpendicular drawn from the point (1, 2, 3) on line `x/0 = y/1 = z/0` is `underlinebbsqrt10`.

Explanation:

The line `x/0 = y/1 = z/0` passes through the origin with direction ratios (0, 1, 0). Distance from point (1, 2, 3) to this line equals perpendicular distance from (1, 3) to the y-axis, giving `sqrt(1^2 + 3^2) = sqrt10`.