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CGPET 2018 Solved Paper

Section: Mathematics

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Question : 133 of 150

Marks: +1, -0

The lines

\frac{x}{1}=\frac{y}{2}=\frac{z}{3}

\frac{x-1}{-2}=\frac{y-2}{-4}=\frac{z-3}{-6}

are

skew
parallel
intersecting
coincident

Solution:

Given, line (I)

\frac{x}{1}=\frac{y}{2}=\frac{z}{3}

and Line (II)

\frac{x-1}{-2}=\frac{y-2}{-4}=\frac{z-3}{-6}

Direction ratio of line (I)

\frac{x}{1}=\frac{y}{2}=\frac{z}{3}

is

(1,2,3)

.and direction ratio of line (II)

\frac{x-1}{-2}=\frac{y-2}{-4}=\frac{z-3}{-6}

is

(-2,-4,-6)=(1,2,3)

Hence, direction ratio are equal of both given lines. So, lines are parallel.

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