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The angle between lines (x-2)/1=(y-3)/2=...

The angle between lines `(x-2)/1=(y-3)/2=(z-5)/2`and `(x-2)/2=(y-3)/-2=(z-5)/1` is …….

A

`30^(@)`

B

`60^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Here `a_(1)=2,b_(1)=-2,c_(1)=1`
and `a_(2)=1,b_(2)=2,c_(2)=2`
`thereforecostheta=(abs(2xx1+(-2)xx2+1xx2))/(sqrt((2)^(2)+(-2)^(2)+(1)^(2))sqrt((1)^(2)+(2)^(2)+(2)^(2)))`
`rArrcostheta=(abs(2-4+2))/(sqrt9sqrt9)=0rArrtheta=pi/2`
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