Question

The direction ratios of the line x-5=5-y, z=5 are 1, 1 ,5.

Answer 1

Answer:

Given,

x–y+z–5=0=x–3y–6

⇒x–y+z–5=0

x–3y–6=0

⇒x–y+z–5=0 (1)

x=3y+6 (2)

From (1) and (2) we get,

3y+6–y+z–5=0

2y+z+1=0

y=

2

−z−1

Also, y=

3

x−6

From (2)

∴

3

x−6

=y=

2

−z−1

So, the given equation can be re-written as

3

x−6

=

1

y

=

−2

z+1

Hence the direction ratios of the given line are proportional to 3,1,−2

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Correct option is

A

(3, 1, -2)

Given,

x–y+z–5=0=x–3y–6

⇒x–y+z–5=0

x–3y–6=0

⇒x–y+z–5=0 (1)

x=3y+6 (2)

From (1) and (2) we get,

3y+6–y+z–5=0

2y+z+1=0

y=

2

−z−1

Also, y=

3

x−6

From (2)

∴

3

x−6

=y=

2

−z−1

So, the given equation can be re-written as

3

x−6

=

1

y

=

−2

z+1

Hence the direction ratios of the given line are proportional to 3,1,−2

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