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Angle between the line (x+1)/(1)=(y)/(2)...

Angle between the line `(x+1)/(1)=(y)/(2)=(z-1)/(1)` and the plane, `x+y+z+5=0` is

A

`0^(@)`

B

`30^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`becausetheta=(a_(1)a_(2)+b_(1)b_(2)+c_(1)c_(2))/(sqrt(a_(1)^(2)+b_(1)^(2)+c_(1)^(2))sqrt(a_(2)^(2)+b_(2)^(2)+c_(2)^(2)))`
`=(1xx1+2xx(-1)+1xx1)/(sqrt(1+4+1)sqrt(1+1+1))=0`
`:." "theta=0^(@)`
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