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Question: Direction ratios of the line represented by the equation \(x = a y + b\) \(z = c y + d\) are...

Direction ratios of the line represented by the equation x=ay+bx = a y + b z=cy+dz = c y + d are

A

(a, 1, c)

B

(a, b – d, c)

C

(c, 1, a)

D

(b, ac, d)

Answer

(a, 1, c)

Explanation

Solution

xayb=0x - a y - b = 0 and cyz+d=0c y - z + d = 0

If l, m, n are direction cosines, then la=m1=nc\frac { l } { a } = \frac { m } { 1 } = \frac { n } { c }.

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