First slide

Straight lines in 3D

Question

The direction ratios of the line $x = p y + q, z = r y + s$ are

Easy

A

$r, p, 1$
B

$q, 1, r$
C

$p, 1, r$
D

$1, p, r$

Solution

Given line is $x = p y + q, z = r y + s$
The symmetric form of the line is $\frac{x - q}{p} = \frac{y}{1} = \frac{z - s}{r}$
Therefore, one set of direction ratios of above line are $〈p, 1, r〉$

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