The slopes of the lines which make an an...

The slopes of the lines which make an angle `45^@` with the line `3x-y=-5` is

A

`1,-1`

B

`(1)/(2)-1`

C

`1,(1)/(2)`

D

`-2,(1)/(2)`

Verified by Experts

The correct Answer is:

D

Let m be the required slope.
`:. |(m-3)/(1+3m)|=1`
`rArr (m-3)/(1+3m)+-1`
`rArr m-3=1+3m`
and `,-3=-1-3m`
`rArr m=-2 and =(1)/(2)`

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