1.

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^(@)`

Answer» Correct Answer - 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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