Direction ratios of the line represented by the equation x = a y + b , z = c y + d are :

Question

Direction ratios of the line represented by the equation $x = a y + b, z = c y + d$ are :

Smart Achievers · Accepted Answer

(1)

Ans. $(a, 1, c)$

Explanation:

Given,

$x = a y + b, z = c y + d$

$∴$ $y = \frac{x - b}{a}, y = \frac{z - d}{c}$

$∴$ $\frac{x - b}{a} = \frac{y}{1} = \frac{z - d}{c}$

Hence direction ratios are $(a, 1, c)$ .

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