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

The angle between the line `(x+1)/1=y/2=(z-1)/1` and a normal to the plane `x-y+z=0` is

A

`0^(@)`

B

`30^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
d
D.r's of the given line are 1,2,1.
D.r.'s of the normal to the given planes are 1,-1,1.
`costheta=|(1 xx1)+2xx(-1)+(1xx1)|/(sqr(1^(2)+2^(2)+1^(2))(sqrt(1^(2)+(-1)^(2)+1^(2))=0 rArr theta=90^(@)`.
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